Question

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

Answer 1

Answer:

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

                                            explanation:

Given: f(x) = $(x^5 +5)^{\frac{1}{3} }$

let f(x) be y

y =  $(x^5 +5)^{\frac{1}{3} }$

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:

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