Question

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

Answer 1

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

The function `f(x) = 1/x` is its own inverse.

Explanation:

Let `f(x) = 1/x = y`

Then

`(f^-1circ f)x = x implies`

`f^-1(f(x)) =x implies`

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