Question

How do you determine the equation for the inverse of the function `y=2/3x^5`?

Answer 1

`color(blue)(y = root(5)((3x)/2)`

Explanation:

We ca find the inverse of a function by swapping the `x` and `y` variables and isolating `y` again.

`x = 2/3y^5`

Divide both sides by `2/3`

`(3x)/2 = y^5`

Take the fifth root of both sides

`color(blue)(y = root(5)((3x)/2)`