1. 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 ¡Üx<1 f(x)={9 if
  2. 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
  3. algebra

    2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 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
  4. Algebra

    Given the following function rules and domains, find the associated ranges. (a) f(x) = 2x +3, Domain = {0, 1, 2} (b) f(x) = 0, Domain = {0, 1, 2} (c) f(x) = 2x + x2, Domain = {1, 0, 2}
  5. 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)
  6. Math

    Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure
  7. Math

    Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure
  8. 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).
  9. 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.
  10. Pre-Calc

    Suppose that f has a domain of A and g has a domain of B. (a). What is the domain of f + g? (b). What is the domain of fg? (c). What is the domain of f/g? Is there a mathematical rule or theorem for this type of question?
  11. 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
  12. Math

    The domain of g(x) is -1< x < 9 What is the domain of g(x - 4) I know the Domain: ?< x <? i know the graph shifts left by four. But I do not remember how to find the domain to be honest.
  13. 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
  14. College Algebra

    Consider the function f(x)=4 - x^2 for the domain [ 0,∞). Find f^−1 (x), where f^−1 is the inverse of f. Also state the domain of f^−1 in interval notation. f^-1 (x) = ___ for the domain ___
  15. Small Group Communication

    Regulating participation, climate making, and maintaining mutual respect are all part of the ___________. task domain, interpersonal domain, procedural domain, work domain, or life skills domain. I believe this is the life skills domain.
  16. Algebra

    Could you please check my answers and help me with one? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/x^2 -49 (This one I don't understand how to find the domain)
  17. math

    questions involving domain and range... 1. Find the domain of the function f(x)=(3x+1)/(sqrt of (x^2+x-2)) andd. 2. Let f(x)= (absvalue(x))/x. Show that f(x)={ 1, x > 0 {-1, x < 0 Find the domain and range of f(x).
  18. 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
  19. 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
  20. 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
  21. math (2nd Try)

    You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain:
  22. Calculus

    I'm doing graphs/domain/range of basic functions. I have three questions: How do I find the domain and range of a function? (more preferably range...I'm okay but shaky on domain) Ex: f(x)=1/(x^2) Also, how do you write the domain and range with notation?
  23. 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
  24. Math

    You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain:
  25. precalculus check immediately

    suppoe f is a function with domain [1,3]and range[2,5]? define functions g and h by g(x)=3f(x)and h(x)=f(4x) what is domain and range of g what is domain and range of h I solved it and got it like this domainof g=[1,3]and range of g=[3,9] Domain of
  26. 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
  27. calculus

    given the following piecewise function x+11 for -9<=x<-3 y= { 2 for -3<=x<=2 2x-6 for 2<x<=5 a. find the domain b. find the range c. find the intercepts d. is f continuos on its domain. If not, state where f is discontinious e. graph the
  28. Algebra 2

    A function is created to represent the amount of money in your checking account. What restrictions would be made to the domain? -The domain would include all real numbers.* -The domain would only include positive integers. -The domain would only include
  29. 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,
  30. 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)
  31. 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
  32. calculus--please help!!

    given the following piecewise function F(x)={x+11 for -9¡Üx<-3 2 for -3¡Üx¡Ü2 2x-6 for 2<x¡Ü5 {--this symbol is to be around all three of the lines. Find: a. the domain b. the range c. the intercepts d. if f continious on its domain. If not,
  33. Function Domain

    Giving your answer in interval notation, find the domain of the function sqrt(((x+4)(x−4))/((x−7)(x−5)))
  34. Algebra 2

    A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain? A-domain includes positive integers B- domain includes positive numbers C-domain includes all real numbers D- domain includes
  35. math

    find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. domain of fog is {x/?} b. the domain of fog is all real numbers
  36. 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?
  37. 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
  38. algebra

    f(x)=v^2+13/v^2-4v-32 Find all numbers that are not in the domain of the function. Then give the domain in set notation.
  39. Algebra- ASAP

    Could you please help me and check my answers? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/(x^2 -49) (I got (-inifinity,-7)U (-7,7) U (7, +ininfinity) The U is the union symbol. Find
  40. math

    determine the domain of the function y=log(subscript/little x)(8-x) so x^y = 8-x how do I find the domain?
  41. Math(Please check)

    Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So domain is x cannot be 8 or -6. Am I correct?
  42. Math(Please check)

    Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So the domain is x cannot be 8 or -6. Am I correct?
  43. 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
  44. Algebra-domain

    I had to find the domain of a function, and my answer is that x is all real numbers except -5 and 6. How do I write that in interval notation?
  45. math

    Find all numbers that are not in the domain of the function. Then give the domain using set notation? F(x)=________17over xSquare+4x-12
  46. Algebra

    Could you please help in finding the domain? Thanxs! Find the domain of the function. g(x)= 3x/(x^2 -49)
  47. Algebra 1a

    Find the domain of the function g(x)= 1/6-5x I know that x is a real number but I need the domain please.
  48. Math

    Find the domain of the function g(x)= 1/6-5x I know that x is a real number but I need the domain please.
  49. aLGEBRA

    Find the domain of the function g(x)= 1/6-5x I know that x is a real number but I need the domain please.
  50. Algebra-I'm still stuck

    The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated. Algebra - helper, Wednesday,
  51. college alg

    for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 (they look like fractions) A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work
  52. calculus

    for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x-1 a. (f*g)(x)= ? what is the domain of f*g? b. (f/g)(x)=? what is the domain of f/g? please show work
  53. college algebra

    For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x-3 A.what is the domain of f*g? B. What is the domain of f/g? Please show all work.
  54. 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
  55. Functions

    Could you please help me and check my answers? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/x^2 -49 (I got (-inifinity,-7)U (-7,7) U (7, +ininfinity) The U is the union symbol. Find the
  56. Pre-Cal: Domain

    [Note: I really need help on these Domain questions. I've been struggling with this all day] -Consider the following: f(x)= 5/x , g(x)= 7/(x+7) -Find the solutions to the following: 1). (f+g)(x) 2). Domain of (f+g)(x) [Use interval notation too] 3).
  57. Algebra

    Given the following piecewise function: Find the Given the following piecewise function: f(x)= {?(x+10 for -9 ?x<-2@3 for -2 ?x ?0@2x-6 for 0<x ?5 )? Find the domain. Find the range. Find the intercepts. Is f continuous on its domain? If not, state
  58. 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
  59. Math (Domain and range)

    Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(or equal to)0 Determine its domain and range using interval notation? I believe the domain is (-infinity,infinity) but how would I find the range?
  60. MATH

    for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work
  61. math

    For the given functions f & g find the following and state the domain of each result. f(x)square root x;g(x)=5x-1 a.(f*g)(x)= What is the domain of f*g? b. (f/g)(x)= What is the domain of f/g?
  62. Algebra

    13. Find the domain of y=2x+1 Bobpursley said: The domain of x is not restricted by that equation. Does that mean the domain is all real numbers?
  63. Math

    for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work
  64. calculus

    for the given functions f&g, find the following and state the domain of each result. f(x)=5x+4/7x-8; g(x)=2x/7x-8 a.(f+g)(x)= ? what is the domain? b. (f/g)(x)= ? what is the domain? Please show work
  65. College Algebra

    For the given functions f and g, find the following and state the domain of each result. f(x)=√x;g(x)=7x-2 (a)(f*g)(x)= What is the domain of f*g? (b) (f/g)(x)= What is the domain of f/g?
  66. Algebra - Domain

    Find the domain of the function: 0=((y-4)/(8-sqrt(y)))
  67. math

    Find the domain of the function p(x)=2(pie2) -2x+9 What is the domain of p?
  68. aLGEBRA

    Find the domain of the function p(x)=2(pie2) -2x+9 What is the domain of p?
  69. Algebra

    Find the domain of the function p(x)=2(pie2) -2x+9 What is the domain of p?
  70. PLEASE HELP! college algebra

    Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph
  71. Algebra

    I have some problems that I need help with please. Thanxs! Find the domain of the function. 1. f(x)=-8x-2 Given fuctions f and g, perform the indicated operations. 2. f(x)=4x-9 g(x)=7x-3 find f - g. Given the functions f and g, determine the domain of f +
  72. 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+1<>0 <=> 2x<>-1 <=> x <> -1/2 But
  73. help college algebra

    given the following piecewise function f(x) = -x+1 for x<0 -1 for 0<x<3 -2x for x>3 find the domain find the range find the intercept d) is f continuous on it domain if not sate where f is dicontinous
  74. Algebra

    Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph
  75. 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.
  76. algebra

    if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h please show work
  77. calculus

    for the given functions f&g, find the following and state the domain of each result. f(x)= 5x+4/7x-8; g(x)= 2x/7x-8 a. (f+g)(x)=? what is the domain? b. (f/g)(x)=? what is the domain?
  78. 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
  79. Calc AB

    Remember that f(x) must be one-to-one (only one y-value for each x-value) over the domain where f –1(x)is defined as a function. So, in some cases you must restrict the domain of f(x) so that it's one-to-one. There might be more than one section of
  80. Math

    what is the domain of this function how did you find the domain. f(x)=(2x-3)/(x+9)
  81. Algebra

    How do I find the domain of the function. P(x)=x©÷ - 2x +9 What is the domain of p X ¡Á 0 X > 0 X ¡Á 9
  82. Math (Pre-calc)

    1) F(x)= (X+2)/(X^2-4x-5) A) Find the domain (-00,-1)u(-1,5)u(5,00) B) find F(-3) I'm not sure how to do it. C) Find F(X+2) I'm not sure either. 2. f(x)= (2x)/(x-4) G(x)= (x)/(X+5) find the domain of each. A)(F+G) (4x^2+5x)(x-4)(X+5) x can't= 4,-5 B) (F*G)
  83. Math - Domain of Composite function

    Find the domain of the composite function f ₒ g . Please show all of your work. f(x) = √x; g(x) = 2x + 12
  84. 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.
  85. 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
  86. 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
  87. 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 ____?
  88. Math

    If f(x)-lnx,g(x)=e^8x, and h(x)=x^7, find the following: a. (f.g)(x). what is the domain of f.g? b.(g.f)(x). what is the domain of g.f? c. (f.h)(x). what is the domain of f.h? I have no clue how to do this. Somebody please help me?? please???
  89. college alg :(

    if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h
  90. college algebra

    1. answer the following for the given quadratic function f(x)=x^2+10x-11 a.what is the vertex (h,k) of f? b. what is the axis of symmetry? Please show work. 2. if f(x)=Inx, g(x)=e^5x, and h(x)=x^6 find the following a. find (fog)(x)= what is the domain of
  91. MATH HELP

    A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of
  92. Algebra

    23. The ___ axis represents the independent variable. X? 21. Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above
  93. Math (calc)

    Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I
  94. calculus HELP

    how do you find the domain of the function:: 14/(x^2 - 361) <-- this is all under a square root.. i have attempted this so many times and have not found the correct answer yet. how do i solve the domain when it is a square root function with a
  95. calculus

    Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)
  96. Math

    1) Let f(x)=9x-2;g(x)=under square root 3x+7. Find each of the following. A) domain of (f+g) B) domain of fg C) domain of f/g (my answer is all r real number am i right?) 2) Let f(x)=3x-2;g(x)=5x+1. Compute the indicated value. A) (fogof)(2) i don't get
  97. Algebra 2 @ Steve

    I have another question regarding functions, but instead if you are adding up functions that are in a radical. f(x) and g(x) are both square root of x+5. To find the domain of f+g, f-g, fg, and f/g, would I find the domain of each function...[-5,infinity)?
  98. Algebra

    I think this is a easy trick question, so I probably know the answer but I just wanted to double check. What is the domain and range of the function f(x) = 3^x Find the f^-1 and its domain and range? Thanks for your help.
  99. algebra

    For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x-2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?
  100. algebra

    For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x-2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?