1. 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?
  2. 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?
  3. 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
  4. Math

    I am working on a graphing exercise where I had to make a picture using ordered pairs and graph it. Then I had to graph the inverse coordinates. Finally it said to make a different graph this time using the "negative of the ordered pair". I don't
  5. Algebra

    what is the inverse of the linear parent function? How would you graph the inverse and what are the values for the inverse???
  6. 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
  7. Math

    Find the zero of f(x) = (2^x-1)(-3^x+1). x = (ln2 + ln3)/(ln2 - ln3) x = (ln2 - ln3)/(ln2 + ln3) x = 2/(ln2 - ln3) x = - (ln5/ln1) I can't figure this out. Solve log(27)(log(x)10) = 1/3 for x. x = (3(inverse)sqrt90)/3 x = 10(inverse)sqrt3 x =
  8. 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
  9. Pre-caluclus

    I do not know how to solve for y to get the inverse of this question: The number of elephants in a park is estimated to be P(t)=7500 1 + 749e^(−0.15t) where t is the time in years and t = 0 corresponds to the year 1903. Find the inverse of P(t). What
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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)
  15. 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
  16. Algebra

    If f(x)=x^5-1/3, find f^-1(-31/96). I think the first step would be to find the inverse of -31/96, but I am not sure how to find that :). Then I could make x^5-1/3= the inverse of -31/96.
  17. 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
  18. 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.
  19. 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
  20. 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
  21. 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,
  22. 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
  23. 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
  24. Math

    Determine whether each equation is true for all x for which both sides of the equation are defined. If it is true, support your conclusion with a sketch using the unit circle. If it is false, give a counterexample. inverse sin(-x)=-inverse sin(x) inverse
  25. Very easy math

    my teacher told me that the inverse of addition was subtraction and that the inverse of subtraction was addition... could you prove it to me -x = (-1)x ((-1)x)^-1 I don't see how I'm suppose to get + x by taking the inverse of -x i've always been told in
  26. Math

    y=arccos(sin(x)), find dy/dx and sketch it's graph(I guess I can do this on wolframalpha after I'm done solving the question). And by arcsin I mean inverse of the expression(written like cos^-1(sin(x)), but is not 1/cos(sinx) but the inverse of cos). I am
  27. Math

    Find the inverse of the function f(x) = x / 2x+1 I know that you would make this x= y / 2x+1 but now I do not know what to do.
  28. Math

    Find the inverse of the function f(x) = x / 2x+1 I know that you would make this x= y / 2x+1 but now I do not know what to do.
  29. Modular inverse

    15x= mod88 Trying to work out the inverse of this, so far using Euclids algorithm I've got the GCF as 1 but I'm not sure where to go from here. Anyone able to help?
  30. 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)
  31. Math

    Find the multiplicative inverse of the number. 1/2 (fraction) The inverse would be 2/1, which would be 2 as the final answer.
  32. calculus

    f(x)=sqrt(x-2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?
  33. Algebra Help Inverse One-to-one

    I need to know if I have done this correctly. Problem If f is one-to-one, find an equation for its inverse. f(x)=x^3-5 y=x^3-5 x=y^3-5 5+x=y^3-5+5 5+x=y^3 My answer: y^3=5+x 3ãy=3ã5+x y=3ã5+x f^-1(x)3ã5+x
  34. Geometry

    Am I CORRECT . Write the inverse and the contrapositive of the statement If Jane is here, then she is well. Inverse
  35. 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?
  36. Trig

    Solve for t algebraically: inverse cos(t) = inverse sin(t). Where do I start?
  37. Algebra inverse

    Find the formula for the inverse of each funtion. 3.) f(x)= 2x-5 for this one I have y= (x+5)/2 is this correct? 4.) g(x)= (x+5)^3 I am stuck on this one.
  38. Pre-Calculus

    g(x)= x^2+7 Find the inverse of g(x) and state the domain and range for the inverse of g(x) using interval notation
  39. 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
  40. Algebra

    Does the data in the table represent a direction variation or an inverse variation, write an equation x 1 2 5 10 y 40 20 8 4 My answer is a direct variation, y=40x, is this correct? here are the other answers direct variation 7=1/40x inverse variat xy=40
  41. 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 -
  42. Math

    Directions: Does the following inverse of [2 6 exist? 1 3] If it isn't an inverse, explain why.
  43. Algebra

    How come x: -1,0,1,2,3,4 y:-2,1,2,1,-2,6 does not have an inverse? I don't see why you just can't flip the x and y values (for example X:-2, y:-1) and have that be the inverse. Could you explain?
  44. math

    Determine the inverse of f(x)=(x^3)-2 Is the inverse the switch of coordinates between x and y or is it 1 over the whole equation?
  45. 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!
  46. Maths

    Prove that sine inverse x = cosec inverse 1/x
  47. math

    how do you find the equations inverse and the domain of the inverse f(x)= 4x^2 -5
  48. 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
  49. Geometry

    Explain why the the inverse of sine times 1.5 does not make sense.
  50. Geometry

    Explain why the inverse of sine times 1.5 does not make sense.
  51. 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.
  52. Mathematics

    make x the subject of the formula y=2x+3 x-4 hence determine the inverse of f(x) for the equation where x is not equal to 4
  53. 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)=
  54. trig

    inverse tan x = inverse cos 4/5
  55. algebra 2

    Please help! y=2x I need to find the inverse, and I am wonderingif the inverse is x= 2y or f-1 = x/2????
  56. Inverse functions

    Solve for y to determine the inverse y=2-(1/2x)
  57. Calculus

    Does f(x)= 1 + cos(x), have an inverse or not, if so, what is the inverse? please explain.
  58. 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
  59. Algebra HELP

    Why does it make sense for the Inverse Variation to be taught in the Rational Expressions Unit?
  60. College Algebra

    Consider the following Matrix: A= [-2 0 1 -1 -2 1 1 -1 0 ] Choose the correct description of A. Find A−1 if it exists. Multiple Choice homework question: 1) A is Nonsingular; that is, it has an inverse. A^-1= 2) A is singular; that is, its inverse
  61. Pre-calculus

    I want to make sure this is right. the inverse of f(x)=(-3x+2)/(2x-1) I got f^-1(x)=(x-2)/(2x-3). if its right how do i check the answer to see if it is right. also would the domain of f be D=all real numbers except 1/2. And I do not know how to get the
  62. Algebra

    Does the data in the table represent a direct variation or an inverse variation? x - 1, 2, 5, 10 y - 40, 20, 8, 4 A.) Direct variation; y = 40x B.) Inverse variation; xy = 40* C.) Inverse variation; xy = 1/40
  63. Algebra 2

    I am trying to figure out if these problems are Direct Variation, Inverse Variation, or Neither. Could someone please check my answers? m=-5p Direct c=e/-4 Neither c=3v Direct r= 9/t Inverse n=(1/2)f Direct u=I/18 Neither d=4t Direct z= -0.2/t Inverse
  64. Math- steve or ms. sue

    does the data in the table represent a direct variation or an inverse variation? x 2 4 8 12 y 4 2 1 2/3 Choices: inverse variation; xy = 8 direct variation; y = 8x inverse variation;y/x = 8 *direct variation; y = 8/x Thank You.
  65. Algebra

    |2 0 4| |3 1 5| |-1 1 -2| I needed the inverse of the matrix above and is the one below correct? If so how do I put the problem down to make it easier to solve. This took me forever. |-7/2 2 -2| |1/2 0 1| |2 -1 1|
  66. 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.
  67. 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.
  68. 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
  69. math

    Explain the notation M^-1 used for the inverse of a square matrix M. I thought M^-1 would be a normal inverse matrix except the numbers would be vertically switched like in fractions...? Not sure though.
  70. 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
  71. 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
  72. algebra

    Simplify x + 7 / x^2 + 4x - 21 (This is a fraction) Answer choices - 1/x-3; where x does not equal 3.-7 x - 3; where x does not equal 3 1/x-7; where x does not eaul 7 x-7 Do the data in the table represent a direct varation or an inverse varition? writie
  73. 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 :(
  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. f(x)=10x-6
  75. Math-quick Q

    So I had already asked a question on inverse and direct variation problems, how would it be if the problem is neither inverse or direct
  76. 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
  77. precalculus

    find the inverse of the function, graph the inverse function, determine the domain, range and asympotoes f(x)= e^-x/(2)+4
  78. math

    If f(x)= x^2-4 and g(x)= 2x-7 Find a) f(g inverse(x)) b) g((g)inverse(x))
  79. Algebra

    If f(a)=K, then which of the following must be true? f(K)=a f inverse(k)=a f inverse(a)=K
  80. Algebra

    Find the inverse of..... f(x)=(4x-1)/(2x+3) Is the inverse this: f^-1(x)= (1/2)((-3x-1)/(x-2))
  81. Inverse Functions

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

    Find the inverse of..... f(x)=(4x-1)/(2x+3) Is the inverse this: f^-1(x)= (1/2)((-3x-1)/(x-2))
  83. algrebra

    show that b is inverse of a a=[-1 1 -3] [2 1 -1] [2 -1 4] b= [0 1 2] [-1 1 -2 ] [-1 0 1] i got ab = to [1 0 0 ] [0 1 0] [0 0 1] and for ba i got [1 0 -4] [0 1 8] [0 0 5] so there is not a inverse is this right
  84. 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)=
  85. 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
  86. 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.
  87. math

    using the inverse property of division how would you isolate -4.2? example of inverse property of multiplication: 3x-5=25 you would add 5 to 25 and then divide 3 to 3x and 25
  88. Algebra

    Given the functions f(x)=x+5/3 and g(x)=1/f^-1(x)+1, find the value of g(3). The first step would first be to find the inverse of x+1, the denominator of the fraction. I think the inverse would be 1-x. And now we have 1/1-x so we can just plu in 3. Right?
  89. Math: Inverse Function (Plz help)

    Find the Inverse function of f: f(x)=8+[square root of(8+x)] f^(-1)(x)=_______, x>8
  90. 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
  91. 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.
  92. 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
  93. Algebra

    Given the function f(x)=3x^3+2, find the value of x so that f^-1(x)=4. Thank you. I tried to solve for the inverse by susbsituting y in for x so: x=3y^3+2 and then I subtracted 2 so x-2=3y^3 and I am stuck here, do I just cube root the whole thing? If so,
  94. Affine ciphers, modular inverse

    So using the inverse of 17 modulo 26 I have -3(y-4)(mod 26) first am I correct? (I originally started with -3(y+22)(mod 26)) And im now trying to decipher a simple message. Which I will plug the numbers of the letters into the equation instead of y. Again
  95. Precalculus

    Find the inverse of g(x)=(1/3x)-7 and then find its domain and range. I already found the inverse of the function.
  96. evaluation

    Evaluate 1. sin(tan inverse sqrt(x^2-2x)) 2. tan (sec inverse 3y)
  97. algebra 2

    What is the identity element for multiplication? What is the multiplicative inverse of 4? of 0.1? What is the familiar name for "multiplicative inverse"?
  98. 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
  99. 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
  100. Math Check

    the additive inverse of -2? 2 the multiplicative identity of -2? -2 write this in 4 different ways. How would I write it 4 different ways? Multiplicative inverse of x+2? Additive inverse of x^2 - 4x - 10