math
Find the inverse of each of these functions
a)f(x)=x/x+2
b)f(x)=2x/5x
c)f(x)=3x/2x+1
asked by
jason

x =2y/5 y
5x = 2y 5y
5x = 3y
F(x) = 5x/3
posted by Anonymous

1st one:
if f(x) = x/(x+2) , then y = x/(x+2)
step1: interchange the x and y variables to get the inverse as
x = y/(y+2)
step 2: solve this new equation for y
x = y/(y+2)
xy + 2x = y
xy  y = 2x
y(x1) = 2x
y = 2x/(x1) or y = 2x/(1x)
f^1 (x) = 2x/(1x)
now do the same for others following these two steps.posted by Reiny
Respond to this Question
Similar Questions

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 
math
consider the functions f(x)=x^32 and g(x)=3 sqrt x+2: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverse of each other. I have no clue where to even begin! 
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 = 
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 
Math
If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function? Explain your reasoning. 
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, 
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 
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 1x. And now we have 1/1x so we 
End behavior models
Thanks for the help with my previous problems Roger & Leo. It was really helpful. Now I want to know how to find the right and left end behavior models and horizontal tangents for the inverse functions, say y = tan inverse(x) I 
Algebra
How do you find the inverse of functions? for example how would you find the inverse of y= log8 x