Answer
See below.
Work Step by Step
We need to show that $f(g(x))=x=g(f(x))$
$f(g(x))=f(\sqrt[3]{\frac{x}{5}})=5(\sqrt[3]{\frac{x}{5}}^3)=5\frac{x}{5}=x$
$g(f(x))=g(5x^3)=\sqrt[3]{\frac{5x^3}{5}}=\sqrt[3]{x^3}=x$
Thus we proved what we had to.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - 6.4 Use Inverse Functions - 6.4 Exercises - Quiz for Lessons 6.3-6.4 - Page 445: 10
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
