Answer
$ g(x)=\sqrt[3] {\frac{x+6}{2}}$
Work Step by Step
Since $ f(g)=x+2$, we have: $2g^{3}-4=x+2$.
Solving for $g$, we get: $ g=(\frac{x+6}{2})^{1/3}$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2 - Page 19: 20
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.
