Question

How do you find the inverse of `f(x) =(3x + 1) / -x`?

Answer 1

`f^-1(x) = -1/(x+3)`

Explanation:

in `y = -(3x+1)/x` solve for x
`yx=-3x-1`
`yx+3x=-1`
`x(y+3)=-1`
`x=-1/(y+3)`
Now replace x by y and the write:
`y=-1/(x+3)`
`f^-1(x) = -1/(x+3)`