Question

What is the inverse function of f(x) = x/x-2

Answer 1

The answer is:

y = x/x −2

Answer 2

Answer:
`f^(1)=(2x)/(x-1)`

Explanation:

Write f(x) =x/x-2 as an equation

`f(x)=(x)/(x-2)`

Interchange the variables

`x=(y)/(y-2)`

solve for y, multiply equation by y-2.

`y=(2x)/(x-1)\\`

replace y with
`f^(1)`(x)

you get the above answer.