Question

How do you find the inverse of `f(x)=x/(x+1)`?

Answer 1

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

Explanation:

Change to `y=x/(x+1)`.

Swap the `x` and `y`.

`x=y/(y+1)`

Solve for `y`.

`x(y+1)=y`
`xy+x=y`
`xy-y=-x`
`y(x-1)=-x`
`y=-x/(x-1)`