Question

How do you find the inverse of `f(x)=x^(3/5)` and graph both f and `f^-1`?

Answer 1

`f^(-1)= x^(5/3)`

Explanation:

Let `y= f(x) =x^(3/5)`. Now interchange x and y so that it is `x=y^(3/5)`. Now solve for y,

`y= x^(5/3)= f^(-1)`