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

asked Nov 14, 2023 152k views

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Answer:

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:

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

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