SOLUTION: I need help to determine the inverse of the function please. Find the inverse function of g(x)= x/x-2.

Algebra ->  Functions -> SOLUTION: I need help to determine the inverse of the function please. Find the inverse function of g(x)= x/x-2.      Log On


   

Question 362916: I need help to determine the inverse of the function please.
Find the inverse function of g(x)= x/x-2.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%2F%28x-2%29
Interchange the positions of x and y and solve for y.
This new y will be the inverse of g(x).
highlight%28x%29=highlight%28y%29%2F%28highlight%28y%29-2%29
x%28y-2%29=y
xy-2x=y
xy-y=2x
y%28x-1%29=2x
y=%282x%29%2F%28x-1%29
highlight%28g%5E%28-1%29%28x%29=%282x%29%2F%28x-1%29%29