1. Calculus, check my answers, please! 3

    Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f –1 that is even. The function f has an
  2. 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
  3. Maths B

    (a) What is the inverse of the function y = 3x2 ? (b) On the same set of axes, without the use of a graphical calculator, graph the original function and its inverse. (c) Is the inverse of the function also a function? Explain your decision.
  4. Algebra

    Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) Which statement best explains whether an inverse variation function is the best model for the data? An inverse function is
  5. math

    The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 For B, the
  6. 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
  7. 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
  8. 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
  9. inverse

    If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't
  10. Math / Algebra

    Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^-1 (True or False?) Answer: True. 2. Does the function y = |x-2| have an inverse? Select the best answer. A. Yes, it passes the horizontal line test. B. No, it
  11. Pre-Calc

    Does y=1/x have an inverse? It is a one-to-one function, so it should be the inverse equation is the same??? yes, the inverse is the same. Check it with G(f(x)) So, when drawing the inverse, it is just the same graph?
  12. Calculus

    F(x) = 1-x and g(x) = 1/x These functions have the property that f = f^-1(inverse) and g = g ^-1. That is, the inverse of f is equal to itself and the inverse of g is also equal to itself. Take the composition of each function with itself to show that this
  13. Algebra

    I have to find the inverse function of f(x)=3-4x. I got y=3-x/4 for the function. I then have to plug it back into the function and verify that it is the inverse. So I wrote (3-4(3-x))/4. This resulted in (-3+x)/4=x. I tried isolating it to get x=x but I
  14. Math 3

    Find the inverse of the function f(x) = 5 – e^(x-1). Determine the domain, range, and asymptotes of the function and its inverse function. Please show all of your work.
  15. Algebra(1st one was typo)

    The function f(x)=x^3 +1/4 x −1^4 is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function f(x) and its inverse
  16. Advanced Algebra

    What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case, give the domain and range
  17. Algebra

    The function f(x)=x 3 +1 4 x−1 4 is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function f(x) and its inverse f
  18. Calculus

    Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function
  19. Algebra

    what is the inverse of the linear parent function? How would you graph the inverse and what are the values for the inverse???
  20. Algebra

    T o convert from X degrees centigrade to y degrees fahrenheit the function is f(x) 9/5x +32 find the inverse function f of negative 1. what does the inverse function represent? graph Help me!
  21. Pre-Calculus

    Define the inverse secant function by restricting the domain of the secant function to the intervals (0, pi/2) and (pi/2, pi), and sketch the inverse function’s graph.
  22. algebra

    Can someone help with inverse relations and functions? is relation t a function? Is the inverse t a function? chart looks like: x 0 2 4 6 y -10 -1 4 8 If someone could please explain this problem
  23. precalculus

    find the inverse of the function, graph the inverse function, determine the domain, range and asympotoes f(x)= e^-x/(2)+4
  24. Algebra-One to one function

    Could you please check my answers and help me with one of them? Find the inverse of the one to one function 1. f(x)-4x+7 -I got f^-1(x)=x-7/(-4) 2. f(x)= square root of x-8 -I got f^-1(x)=x^2-8 3. f(x)=4/(5x-1) This one I don't understand how to find the
  25. Math: Inverse Function (Plz help)

    Find the Inverse function of f: f(x)=8+[square root of(8+x)] f^(-1)(x)=_______, x>8
  26. Grade 11 Algebra 2/Trig

    Given : f(x) = x^2 and g(x) = 2^x The inverse of g is a function, but the inverse of f is not a function. Explain why the statement is true.
  27. math!

    about finding the inverse of y=(2x+1)/(x+3). should you multiply (x+3) on both sides and get y(x+3)=2x+1? then what would be your next step? This one is a little tricky because we we have a rational function. What we want to end up with is x(y) To do this
  28. Algebra

    Dan works at a hardware store. The employee discount is determined by the formula d = 0.15 (c − 10 ). Use the inverse of this function to find the cost of the item for which Dan received an $18.00 discount. a. Find the inverse function that models
  29. 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
  30. 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
  31. Math

    Find inverse of f if f(x)= x^2-4x+3, (for x is smaller than and equal to 2). First prove that f(x) is one to one in the defined domain of f and then obtain the inverse function. I know how to find the inverse. We just switch x and y. so y=x^2-4x+3 becomes
  32. Functions - math

    The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a and b ii) Find the
  33. Pre-Calculus

    Find the inverse function for the function f(x)=2^(x)+1/2^(x)-1 You will need to use some properties of logarithmic functions to find the inverse of this particular function.
  34. Advanced Functions 12

    A student writes, "The inverse of y = -√(x+2) is y = x^2 - 2." Why is this statement false? I don't understand how it isnt the inverse. The textbook says that changing the domain will make it the inverse? Wouldn't that only make it a function?
  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. 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
  37. 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
  38. calculus

    f(x) = (x+2)/(x+6) What is f^(-1)(-6)? (what is f inverse of -6) I found f' which was [(x+6)-(x+2)]/(x+6)^2 I set the function equal to -6 and found x to be -30/7. Used the formula to find inverse function: 1/f'(f^(-1)(-6)) So I replaced f^(-1)(-6) with
  39. Calculus Help

    The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer
  40. Maths

    Correct each of the following incorrect statements: 1)The inverse of the function defined by y= 5/x +1 is defined by y= 5/x - 1. 2)The graph of a function and its inverse are always reflection in the line =0.
  41. Math

    I need help with an inverse function. If f(x)=3-x, I find the inverse function to be: x=3-y which is the same as y=3-x, same as the original. How can this be?
  42. Precalc

    Consider the function f(x)=2x^3 +1. Determine whether the inverse of F is a function. Find the inverse.
  43. graph!

    how can the graph of f(x)= X^2-4X be used to obtain the graph of y=g(x) ?????? don't know can you help me out? What is g(x)? The inverse function of f(x)? http://www.uncwil.edu/courses/mat111hb/functions/inverse/inverse.html
  44. inverse

    my question was: find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem?>> and you answered: If f(x)=-(x-2)^2 x<-2, then let y=f(x) - y = (x-2)^2 sqrt(-y)= x-2 x(y)= sqrt (-y) + 2 g(x)=
  45. math

    Could you show me step by step how to find the inverse of this problem: log with base of 2 (x+1) Thanks! It is not clear what the problem is. You are given a function of x. Let's calli it y. Are you trying to come up with an equation for x in terms of y?
  46. MATH PLEASE HELP

    Given: Let f: X -> Y be a function. Then we have an associated function f^(-1): P(Y) -> P(X), where f^(-1) (B)⊂X is the inverse image of B⊂Y. Question: Show that f^(-1) is one-to-one if and only if f is onto. [Notes: ⊂ represents
  47. Math: Intro to Proofs

    Given: Let f: X -> Y be a function. Then we have an associated function f^(-1): P(Y) -> P(X), where f^(-1) (B)⊂X is the inverse image of B⊂Y. Question: Show that f^(-1) is one-to-one if and only if f is onto. [Notes: ⊂ represents
  48. Math- steve? reiny?

    1. Let f(x)=x^5 + 2x^3 + x - 1 Find f^-1(3) and (f^-1)'(3)? I have zero idea how to find the inverse of this function at a point 3, and how to take derivative of an inverse. 2.Let f(x)=cosx + 3x Show that f(x) is a differentiable inverse and find f^-1(1)
  49. Algebra 1

    Which of the following statements is true about the function y = 5⋅x4 ? It is an even function It is an odd function It is an exponential function It is an inverse function
  50. Algebra Help Inverse One-to-one

    Did I do this right? Problem: If the following defines a one-to-one function, find its inverse. If no, write "Not one-to-one." {(-2,4),(-1,4),(0,1),(1,-5)} answer: Not one-to-one because of (-2,4), (-1,4)
  51. Pre Calculus

    Inverse functions what is the inverse function of f(x)=1/square root of x +1? and f(x)=1-x^2, x<0?
  52. math

    find the inverse of each function. is the inverse a function? 1) f(x)=-2x+9 2) f(x) x^2+2
  53. Calculus

    If g(X) = 2+ln(x-5), find the inverse function, (g^(-1))(x) Solution: y = 2+ ln(x-5) e^y = 2 + x - 5 x = e^y + 3 y = e^x + 3 g^(-1) = y = e^x + 3 Is that right? I'm following an example - but don't really get it - how do I determine the domain and range -
  54. Linear Algebra

    which of the following functions is the inverse of F(X)=3x F(X)=-3X F(X)=X (cubed)**** F(X)= X/3 This function does not have an inverse. Thank you!
  55. Algebra 2

    Find the inverse of the following function: f(x) = 3x + 12 I don't think I worked this problem off correctly...I am suppose to find the inverse of the function Is this the correct way to work this problem? y= 3x + 12 x= 3y + 12 3y = x - 12 f-1(x) = x -
  56. math help1

    Okay I am a little bit confused about one math question can you please Help me out? There is two parts but I already finished part a just stuck on part b Okay so part a. draw the reflection of f(x) = (square root X-2) in the Line y=X Okay I understand that
  57. math please help

    use an inverse trig function to write theta as a function of x (There is a right triangle drawn. The hypotenuse is 2. Theta is the angle between the base and the hypotenuse. The base/adjacent side of theta is labeled(x + 1) The side opposite theta does not
  58. Pre-Cal: Word Problem

    I'm having a lot of trouble on this word problem. Can someone help me plz? To define the inverse sine function, we restrict the domain of sine to the interval ______. On this interval the sine function is one-to-one, and its inverse function sin^−1
  59. Inverse of log function

    Find the inverse of f(x) = log(2+x) - 4 the base is "a" Call f(x) y y = loga(2+x) -4 y+4 = loga(2+x) a^(y+4) = 2 + x x = a^(y+4) - 2 drwls, you have merely solved the equation for x. The question was to find the "inverse", so the actual answer should be y
  60. Calculus (Derivatives of Inverse Functions)

    Suppose f(x) = sin(pi cos(x)). On any interval where the inverse function y = f^-1(x) exists, the derivative of f^-1(x) with respect to x is: I've come as far as y = arccos ((arcsin(x))/pi), but I am not certain this is right.
  61. College Algebra

    1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through (0,2) and (4,1). 5. Give a
  62. inverse

    find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem? find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x <= 2 how do I solve this problem?>> If f(x)=-(x-2)^2 x<-2,
  63. college algebra

    f(x)=√x-2 Find the domain of the function is it x-2 the range of function is it (00,-2) the domain of the inverse is it x>-2 The range of the inverse is it (-2,00) Thanks
  64. Calculus

    For a given take-off weight, the take-off distance increases if the air temperature increases. For a specific example, if a KC-135 weighs 200,000 lbs, the take-off distance is modeled by f(t)=1/3(t+145)^2 - 67. If D = f(t) , where D is the take-off
  65. 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?
  66. Algebra

    Some functions that aren't invertible can be made invertible by restricting their domains. For example, the function x^2 is invertible if we restrict x to the interval [0,inf), or to any subset of that interval. In that case, the inverse function is \sqrt
  67. Algebra

    Let f(x) =(x+3)/(2x-5) Find the inverse function of f What is the domain of f? What is the domain of the inverse function?
  68. Algebra 2

    What is the inverse of f(x)=(x−5)2 for x≥5 where function g is the inverse of function f? g(x)=x√+5 , x≥0 g(x)=x−5sqrt , x≥5 g(x)=x+5sqrt , x≥−5 <my choice g(x)=x√−5 , x≥0
  69. College math

    Determine whether the following function is a one-to-one function,and if the function is a one-to-one, find a formula for the inverse. F(x)=5/(x+3)
  70. College math

    Determine whether the following function is a one-to-one function,and if the function is a one-to-one, find a formula for the inverse. F(x)=(5x-6)/(2x+3)
  71. College math

    Determine whether the following function is a one-to-one function,and if the function is a one-to-one, find a formula for the inverse. F(x)=x^3-27
  72. inverse functions

    1-3cos=sin squared You need to define the variables, such as x, y etc. If you are trying to solve 1 - 3 cos x = sin^2 x for whatever x is, then you are not talking about an inverse function.
  73. Math(Please check)

    The following function is one-to-one; find its inverse f(x)=x^3+5 I know that the first step would be to set y = to x so I did y=x^3+5 Then you swap x with y so x=y^3+5. Then you solve for y and this is where I think i messed up. I did y^3=x-5 = y=x^3-5
  74. algebra 2

    for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. g(x)=-6x+5 please explain how you got the answer
  75. Math - Inverse Functions

    Find the inverses of the following functions. y = 3(x - 1)^2, x >= 1 Work: x = 3(y - 1)^2 x = 3(y - 1)(y - 1) x = 3(y^2 - y - y + 1) x = 3y^2 - 6y + 3 And now what do I do!? Please explain and show me how to solve this inverse function! ... Thank you
  76. Algebra 2

    formula for converting celcius to fahrenheit: F=9/5C+32 a) what is the inverse of the function? b)use the inverse to find the celcius tempertature that corresponds to 25F Please help i have no idea how to solve this :(
  77. algebra 2

    for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. f(x)=10x-6
  78. Inverse Functions

    Given that g is the inverse function of f, and f(3)=4, and f'(3)=5, then g'(4)= ?
  79. Algebra

    What is the inverse of the function? f(x)=3x f(x)=-3x f(x)=x^3 f(x)=x/3 ***** This function does not have an inverse I think it's C but I'm not sure.
  80. Calculus-Inverse Functions

    is the inverse function of x+ floor(x) equal to x - floor (x/2) i got this after plotting points but i'm not sure. thank you
  81. Algebra Help ASAP PLEASE!

    ((I forgot how to do find inverse functions and this is important)) Find the inverse function of g(x) = 2x + 4. A) g^(-1)(x) = 4x + 2 B) g^(-1)(x) = 2x + 1/2 C) g^(-1)(x) = 1/2x - 2 D) g^(-1)(x) = 2x - 4 I *think* it might be C but I'm not sure.
  82. pre-calculus

    the function f(x)=4/x-7 is one to one a. find the inverse of f b. graph f, f^-1, and y=x on the same set of axes find the inverse of f f^-1(x)=
  83. algebra 2

    for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. f(x)=14.4x
  84. maths

    given function G(x)=1/3(x-2)^2-3 2<x<5 sketch a graph of function y=g^-x and find the inverse function g^-1
  85. Algebra 2 quick check

    What is the inverse of f(x)=2x−3 ? f−1(x)=−2x+3 f−1(x)=2x+3 f−1(x)=−1/2x−3/2 f−1(x)=1/2x+3/2 < My choice What is the inverse of the function? g(x)=−43x+2 g−1(x)=−4/3x−2 g−1(x)=4/3x−2 g−1(x)=3/4x+2/3 g−1(x)=−3/4x+3/2
  86. math

    Is the relationship between the variables in the table direct variation, inverse variation, both, or neither? If it is a direct or inverse variation, write a function to follow it. X:2 5 20 40 Y:40 20 5 2 ANSWERS AVAILABLE TO CHOSE: A) NEITHER B) INVERSE
  87. math

    Some functions that aren't invertible can be made invertible by restricting their domains. For example, the function x^2 is invertible if we restrict x to the interval [0,\inf), or to any subset of that interval. In that case, the inverse function is-\sqrt
  88. Pre-calculus

    Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for
  89. Sj

    Maths. If the function of inverse f(x)= +- the squareroot of X is not a function.how will i restrict it to be a function?
  90. Algebra 2

    1.)Find inverse function of the function f(x)=(x+3)+9 2.)Find the inverse of the function r(x)=3x-6/5x+3 thanks
  91. algebra

    Determine if the inverse of function {(-3, -6), (-1, 2), (1, 2), (3, 6)} is also a function. A. function B. not a function B
  92. Algebra 2

    Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? if it is a direct or inverse variation, write a function to model it. x 2 5 15 20 y 20 15 2 2 a. inverse variation;y=10/x b. neither c.
  93. Math

    True or false Some rational numbers are integers. The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function
  94. Math

    Some rational numbers are integers. True or false The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function.
  95. Calculus (Please check my work!)

    Suppose that y = f(x) = x^2 - 4x + 4. Then on any interval where the inverse function y = f-1(x) exists, thederivative of y = f-1(x) with respect to x is: (Hint: x^2 - 4x + 4 can be factored and rewritten as "something" squared.) Work thus far: Okay, so I
  96. Algebra II

    The inverse of f(x) is h(x). The composition of f and h is written f[h(x)]. What does f[h(x)] equal? Hint: Think of a simple problem like f(x) = x + 3. Then the inverse, h(x) would be h(x) = x - 3. What would the composition f[h(x)] equal in this example?
  97. Algebra, Solving equations

    I'm stuck with this equation: y = (4x-1)/(2x+3) We're working on inverses, which I understand, but my mind is blanking on how to solve this for x. Thanks in advance, Amy :) after you interchanged the x and y variables, and expanded you should have had x =
  98. Algebra 2

    Ok, so I'm trying to find the inverse of each function. We're learning about Inverse Functions and Relations. The problem is f(x)=sqr.root of x/6 The sqr root is confusing me.
  99. Functions - math

    The function f is such that f(x) = a^2x^2 - ax + 3b for x<=(1/2a), where a and b are constants. 1) For the case where f(-2) = 4a^2 - b +8 and f(-3) = 7a^2 - b + 14, find the possible values of a and b. 2) For the case where a = 1 and b = -1, find an
  100. Trigonometry

    IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6