Question

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

Answer 1

`y=root(3)(1-x)`

Explanation:

Write as:

`y=1-x^3`

Make `x` the dependant variable and then swap the letters round. In that, where ever there is an `x` (there should only be one!) write `y` and wherever there is a `y` write `x`.

`x^3=1-y`

`x=root(3)(1-y)`

Now change the letters round!

`y=root(3)(1-x)`