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: 44

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, $(f\circ g)(x) \\=f(g(x) \\=-4(-\frac{1}{4}x-2)+2 \\=x+8+2 \\=x+10$ Therefore, $f$ and $g$are not inverses of each other.
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