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The function f(x)=(x-5)^2+2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. a. restricted domain: x>or=5; f^-1(x)=5-sqrt(x-2) b. restricted domain: x>or=5; f^-1(x)=5+sqrt(x-2) c. restricted domain: x

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  1. Math

    The function f(x)=(x-5)^2+2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. a. restricted domain: x>or=5; f^-1(x)=5-sqrt(x-2) b. restricted domain: x>or=5; f^-1(x)=5+sqrt(x-2) c. restricted
  2. precalculus

    the function f(x)=(x-5)^2+2 is not one-to-one. identify a restricted domain that makes the function one-to-one, and find the inverse function. a) restricted domain ; x >= 5; f^-1(x) = 5 - sqrt x- 2 b) restricted domain ; x >= 5; f^-1(x) = 5 + sqrt x- 2 c)
  3. math111(3)

    The function f(x)=(x+6)^2 is not one-to-one. Choose the largest possible domain containing the number 0 so that f(x) restricted to this domain is one-to-one. The largest possible domain is [-6,infinity) If the restriction function is written F, then
  4. Gradient vectors

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  5. Math Graphing

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  6. Pre Cal

    a function f is defined as f(x)= square root of (x+4). a) identify the domain of the function b) identify the range of the function c)Compute the intercept d) compute the x intercept E) sketch a graph of the function
  7. Algebra plz help

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether
  8. Algebra

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether
  9. Calculus.

    Given the function f with the restricted domain, find the points at which the tangent line is horizontal. f(x)=2sec(x)-tan(x) Domain: [-pi/2,pi/2] * I got (pi/6, square root of 3), but I am not sure if that is right, or if there is another point.
  10. Math Question--dont understand

    Restrict the domain to the set of natural numbers. Mark the dots points on the graph which represent the function on the restricted domain. I don't understand how to do this.
  11. math

    Write a function that represents d less than 5 is p. p = 5 - d ✅ p = d - 5 p = 5 - p d = p - 5 What is the value of the 5 8 17 ✅ 35 Is the relation below a function? If it is a function, state its domain. {(0,2),(2,4),(1,7),(2,5)} The relation is not a
  12. Trigonometry

    In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one - please explain in detail the
  13. calcius

    Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, -2, -3, 6} range: {-2,
  14. college algebra

    1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=? What is the domain? b. (f/g)(x)=? what is the domain? 2.the function f is defined as follows {x+6 if -5 ¡Üx1 a. the domain of
  15. Math

    Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function
  16. precalculus

    (A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=
  17. precalculus

    (A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=
  18. MATH Graphing Domain

    Consider the linear function with equation y = 3x + 5. Sketch the graph of the linear function on the grid. h t t p : //img402 . imageshack . us/img402/1466/picture38c . j p g Here is a picture of the graph, and this is how I did it. h t t p : //img9 .
  19. PreCalc

    Consider the function(7+15x^2)/(10x^2+9x+10). Find the function's domain and identify any horizontal and vertical asymptotes Please Help!
  20. mathematics

    Using the standard restricted domain for the cotangent function, which of the following best describes the behavior of the inverse cotangent function? -a decreasing function defined in quadrants I and II -a decreasing function defined in quadrants III and
  21. algebra

    2. The function f is defined as follows f(x)={4+2x if x0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f is
  22. Pre-Calc

    1/x-3 +1 Use a graphing utility to obtain the graph of the function. Give the domain of the function and identify any vertical or horizontal asymptotes.
  23. PreCalc!

    sketch a graph whose domain is the interval [0, infinity) but whose domain must be restricted to [0,4] so that the function can have an inverse. (The only one i can think of is a parabola but she said we cant use that one) Consider the 2 statements: I. if
  24. math

    The third set of differences of a function is constant and negative. Identify the type of function, its domain, range and key features of its graph.
  25. algebra

    1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different restrictions to the
  26. Math

    The above function is given: f(x)= sqrt of (2x-6)/(x-8) - Sarah describes the domain as [3, ∞). - Describe why her domain is incorrect. - Provide the correct domain for the function. (I sort of understand this).
  27. Math

    HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] 3. domain: (-oo, oo)
  28. math

    A movie theater seats 500 people. For any particular show, the amount of money the theater makes is a function m(n) of the number of people, n, in attendance. If a ticket costs 2 dollars, find the domain and range of this function. domain: ?≤ n ≤?
  29. algebra

    Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers, range positive integers no
  30. mathematics

    Consider the function 𝑓(𝑥) = −√36 − 𝑥^2 a) Use GeoGebra to draw the graph of 𝑓. • Open GeoGebra • Define the function. Beside the + button, begin typing in the “Input…” box by typing f(x) = –sqrt(36 – x^2) b) Evaluate the
  31. Pre-Cal(Please help)

    Give the domain of the function and identify any vertical or horizontal asymptotes. h(x) = 1 / x - 3 + 1 I had x = 0 and y = 3. Would the domain be all numbers except 1?
  32. Pre-Cal

    Give the domain of the function and identify any vertical or horizontal asymptotes. h(x) = 1 / x - 3 + 1 I had x = 0 and y = 3. Would the domain be all numbers except 1?
  33. Pre-Cal

    Give the domain of the function and identify any vertical or horizontal asymptotes. h(x) = 1 / (x - 3) + 1 I had x = 0 and y = 3. Would the domain be all numbers except 1?
  34. MATH

    The formula for the area of a circle and the volume of a sphere an be though of as functions of the radii of the shapes. (Anything you could answer would be so helpful) Thank you!! a) Write a rule expressing the area of a circle as a function of its
  35. Precalculus (Please Help!!??)

    The formula for the area of a circle and the volume of a sphere an be though of as functions of the radii of the shapes. (Anything you could answer would be so helpful) Thank you!! a) Write a rule expressing the area of a circle as a function of its
  36. calculus

    You have an 8.5 inch by 11 inch piece of paper. You need to cut out four squares in each corner of the box so you can fold the sides of the paper and create a volume for the box. 1. Write an equation that represents the volume of the box. 2. What is the
  37. Pre-Calculus

    1) Use a graphing utility to obtain the graph of the function. Give the domain of the function and identify any vertical or horizontal asymptotes. x+4/ x^2+x-6. 2) Use a graphing utility to graph the function and determine the x-intercepts and B. set y=0
  38. math 116

    What is the difference between domain and range? The domain of a function is the set of all values for the independent variable (in the following example, that's the x) for which the function is defined. That is, if you have a function such as f(x) = 1/x
  39. Trigonometry

    Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your
  40. Trigonometry

    Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your
  41. Math

    Jane and David are preparing for their annual trip to Yosemite. After careful analysis of route options, and based on traffic patterns, David determines the following: while driving at a constant pace, they will travel 40 miles in the first hour, 255 miles
  42. Calculus

    Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it is continuous at every
  43. Algebra 1 HELP

    Identify the range of the function with the given domain. x+3y=-8 Domain x¡Ý0
  44. Algebra

    Identify the range of the function for the given domain. f(x) = -5x + 1; Domain = {-15, -11, -4, -2}
  45. inverse

    the direction was to find f^(-1)x. f(x) = x^2+2x+1, x >= -1 as a final answer, I got: f^(-1)x = sqrt(x) - 1, x >= 0 is this right? I don't understand the restriction rules. It is right. If originally x>=-1, that puts f(x) >=0, and in the inverse function,
  46. pre calc

    The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value Function The Greatest
  47. Algebra Check

    What is the domain of the function below? ((0,2),(3,1) (5,2) (8,4)) a. (1,2,4) b. (0,3,5,8)** c. (0,1,2,3,4,5,8) d. ((0,2),(3,1) (5,2) (8,4)) Is the following relation a function? ((0.3,0.6), (0.4,0.8), (0.3,0.7), (0.5,0.5)) a. yes b. no** c. cannot be
  48. math

    . Given the following function, f(x)=-x^2 -8x find: (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range, (f) intervals where the function is increasing, (g) intervals where the function is decreasing, and (h) the graph of the function.
  49. Algebra

    Find the domain of each square root function. Then use the domain to match the radical function with it’s graph. The graphs are labeled (a) through (f) and are shown in [-10,10,1] by [-10,10,1] viewing rectangles. f(x)=~(8-2x) a) b) c) d) e) f)
  50. math

    An increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1). If this function is defined only when x is greater than −1 and y is greater than 1, what are the domain and range of this function?(1
  51. Math

    Suppose a function f(x) is defined on the domain [-8,4]. If we define a new function g(x) by g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.
  52. Math

    compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent function. c.it causes the
  53. precalc

    1. Write an equation of the following using the particular function. 1. The function is sine. The amp is 2 and the domain is [0, 2]. I got y=2sin(pie(x)) but i plugged that in my calc and it doesnt look like the graph on my worksheet 2. The function is
  54. calculus--please help!!

    given the following piecewise function F(x)={x+11 for -9¡Üx
  55. Algebra 1 - Help!?

    Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the function and find the domain
  56. algebra

    factor to solve quadtatic equations 1. what are the coordinates of the vertex of the graph? is it maximum or ninimum? A- (1,0); minimum B- (0, 1); maximum C- (0,1); minimum D- (1,0); maximum 2.graph the function and identify the domain and range. y=-0.5x^2
  57. Math

    So I figured out how to do the first 6, how do I do the remaining? 7. Evaluate the function below over the domain {-1, 0, 1, 2}. As the values of the domain increase, do the values of the function increase or decrease? y = (3/4)ˣ 8. Suppose an investment
  58. algebra

    which of the domain of a function is restricted to x > 0 f(x) = √x f(x) = x2 + 5 f(x) = x2 f(x) = (x − 5)2 f(x) = √x + 5 f(x) = (x + 5)2
  59. Math *Updated*

    So I figured out how to do the first 6, how do I do the remaining? 7. Evaluate the function below over the domain {-1, 0, 1, 2}. As the values of the domain increase, do the values of the function increase or decrease? y = (3/4)ˣ 8. Suppose an investment
  60. Math

    1. determine the interval(s) where the function f(x)= -1 / 2x+10 is a) positive b) Increasing 2. Consider the function f(x) = 3 / 4x-5 a) Determine the key features of the function: i) Domain and range ii)Intercepts iii) Equations of any asymptotes iv)
  61. Function Notation

    Ive been shown that a function can be written like so f:X->Y,f(x)=rule where X is the Domain and Y, the co-domain. Firstly, what is the co-domain? Ive tried looking it up but all I get is "the set of which y values fall in". If that is the case, say for
  62. Algebra II

    Consider the function y = 1/x. A. What happens to the value of the function as the value of x gets very large? My answer: the value of the function increases. B. For what value of x is the function undefined? Explain why. My answer: 0, because it is not
  63. Math

    . The volume of a rectangular box is given by the expression V = (120 − 6w)w2, where w is measured in inches. a. What is a reasonable domain for the function in this situation? Express the domain as an inequality, in interval notation, and in set
  64. Need Help!! Algebra

    I am having trouble in this class and need help with this question.. What similarities and differences do you see between functions and linear equations studied Are all linear equations functions? Is there an instance in which a linear equation is not a
  65. College Algebra

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6
  66. Trigonometry

    5. If a trig equation has one answer, how many answers will it have? (Provided you do not restrict the domain?) 6. Why are the graphs of the inverse functions restricted to one period of the function? I only need to answer these two to finish my homework
  67. Calculus

    Describe the Domain of the Function: F(x)= 2x/(x-2)(x-1) The domain of the function consists of all real numbers x except ____?
  68. college algebra

    for the given function f&g, find the following and state the domain of each result f(x)=2x+1/9x-5; g(x)4x/9x-5 a.(f+g)(x)= what is the domain? b.(f/g)(x)= what is the domain? please show work answer the following for the given quadratic function
  69. Precalculus

    The function f has a domain of [0,5]and a range of [0,3]. Start by sketching a potential graph of f. Suppose the function k is defined as k(x)=f(x−3). Determine the domain and range of k. Domain: Range:
  70. alg 1

    Quadratic graphs and their properties: Identify the domain and range of each function: y = 4x^2 - 3 I have no idea how to find the range and domain. Would you please explain in detail how I can determine the domain and range in the quadratic problems?
  71. Math

    Express the volume of a sphere as a function of its radius. What is the domain of this function? Does this function have an inverse? If so what is it?
  72. Algebra 2

    The graph of an absolute value function opens up and has a vertex of (0, -3). The domain of the function is . The range of the function is
  73. 8th grade algebra

    A gardner at a nursery is filling pots with soil to prepare to transplant seedlings into these larger pots. Each new pot needs about 27 cubic inches of soil. The amount of soil s (in cubic inches) it takes to fill p pots is given by the function s=27p. a.
  74. pre calculus

    Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a
  75. Need help asap

    I need help! Reasoning: Can a function have an infinite number of values in its domain and only a finite number of values in its range? If so, describe a real-world situation that could be modeled by such a function. Writing: What is the difference between
  76. math

    So for this question it says, the graph of the function f(x)= radical of x+4 is shown. The domain of the function is 1) {x|x is greater than 0} 2) {x|x is greater or equal to 0} 3) {x|x is greater than -4} 4) {x|x is greater than or equal to -4} I know
  77. pre cal

    A movie theater seats 400 people. For any particular show, the amount of money the theater makes is a function m(n) of the number of people, n, in attendance. If a ticket costs 2 dollars, find the domain and range of this function
  78. algebra

    Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane -x/3 f(x)=4+e ( if this makes sense, not sure how else to show it. the -x/3 is after the e like -x/3 to
  79. 11th grade maths

    A.give an example of a function whose domain is {3,4,7,9}? and whose range is {-1,0,3} B.Find two different functions whose domain is {3,8}and whose range is {-4,1} C Explain why there does not exist a function whose domain is {-1,0,3} and whose range is
  80. Math

    Is the step function differentiable in its domain? I answered it and said that the step function is not differentiable in its domain because it is not continuous. For the a function to be differentiable it would need to have a value and a limit. However,
  81. Algebra 1

    A gardener at a nursery is filling pots with soil to prepare to transplant seedlings into these larger pots. Each new pot needs about 27 cubic inches of soil. The amount of soil s (in cubic inches) it takes to fill p pots is given by the function s 5
  82. Algebra 1

    A gardener at a nursery is filling pots with soil to prepare to transplant seedlings into these larger pots. Each new pot needs about 27 cubic inches of soil. The amount of soil s (in cubic inches) it takes to fill p pots is given by the function s 5
  83. precalculus

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4
  84. math

    5.6.8 - Quick Check: Formalizing Relations and Functions What is the domain of the function below? {(0, 2), (3, 1), (5, 2), (8, 4)}? {1, 2, 4} {0, 3, 5, 8} ✅ {0, 1, 2, 3, 4, 5, 8} {(0, 2), (3, 1), (5, 2), (8, 4)} Is the following relation a function?
  85. Gr.11 - Rational functions graphing.

    1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. 3. Identify a
  86. algebra

    f(x)=3x^2-18x-6 identify the function`s domain and range.
  87. math

    graph the function and identify the domain and range y=-3x^2
  88. Algebra

    graph the function and identify the domain and range y=-4x^2
  89. math

    hey i need help on something. anyone know how to identify the domain and range of a function? thanx!
  90. Algebra (Last Question)

    I have - to graph each relation - decide if it is a function - state the domain and the range. 1) {(2,3),(4,-3),(5,1),(-1,3)} how would I decide if something is a function in general? I kind of remember the domain and the range,but since I did this 2 years
  91. Math22

    1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y= (g(x), f(u)) = 2. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function
  92. college trig

    I need to find the domain of the following function: y=arcsin((x-3)/(2x+1)) My math is a bit rusty after holidays...This is what I did: (I'll use for the sign of 'not equal') -> 2x+10 2x-1 x -1/2 But i'm not sure about the rest! What I though of doing was
  93. CALCULUS. Check my answers, please! :)

    The domain of f(x)=(1)/(sqrt(x^2-6x-7)) is (1, 7) [-1, 7] x > -1 or x < 7 ***{x < -1}U{x > 7} (-∞, -1]U[7, ∞) 2. In which of the following is y a function of x? I. y^2=9-x^2 II. |y|=x III. y=(sqrt(x^2))^3 I only II only III only ***I and III only I, II
  94. Math

    For the set of ordered pairs, state the domain, range, and determine whether or not the relation represents a function. (9,9), (7,4), (1,2), (2,6), (5,0) Domain: 9,7,1,2,5 Range: 9, r, 2, 6, 0 It is a function because no x value is repeated
  95. Algebra (Word Problem)

    Here's the word problem: You have a coupon for $50 off your camera purchase of $100 or more at Camera World. Write a function relating a camera's purchase price after coupon, y, to the retail price, x. Give the domain of this function. Here is what I have
  96. 11th grade mths

    Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range
  97. Maths(please check urgently

    Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range
  98. math

    Consider the following: h={(1,2),(2,4),(3,6),(-1,-2),(-2,-4)}. a) Explain why h: ℤ --> ℤ does not describe h correctly. This does not describe the function h correctly because the range of the function h seems to be finite or limited to the set of even
  99. Math

    Consider the following: h={(1,2),(2,4),(3,6),(-1,-2),(-2,-4)}. a) Explain why h: ℤ --> ℤ does not describe h correctly. This does not describe the function h correctly because the range of the function h seems to be finite or limited to the set of even
  100. Algebra

    I've learned that the difference between domain and range is.....domain is the set of possible X values and range is the set of possible Y values. also, a domain is the values that a function maps "from" and the range is the values that a function maps

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