College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.1 - Inverse Functions - 4.1 Exercises - Page 395: 43

Answer

No.

Work Step by Step

The two functions are inverses of each other if $(f\circ g)(x)=(g \circ f)(x)$. For the given functions, $(f\circ g)(x) \\=f(g(x)) \\=-3\times (-\frac{1}{3}x-12)+12 \\=x+36+12 \\=x+48$ Therefore, $f$ and $g$ are not inverses of each other..
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.