Question

I need to multi-step function inverse, photo will be included

Answer 1

inverse:
`f^(-1)(x) = \sqrt[5]{x^3 - 5}`

Step-by-step explanation:

Given: f(x) =
`(x^5 +5)^{(1)/(3) }`

let f(x) be y

y =
`(x^5 +5)^{(1)/(3) }`

To find inverse, make x the subject.

`y^3 = x^5 + 5`

`y^3 - 5 = x^5`

`x = \sqrt[5]{y^3 - 5}`

change signs:

`f^(-1)(x) = \sqrt[5]{x^3 - 5}`