Answer
$f^{-1}(x)=x-5$
Work Step by Step
$f(x)=x+5,$
$y=x+5$
a.
$x=y+5$
$x-5=y$
$f^{-1}(x)=x-5,$
b.
$f(f^{-1}(x)))=x-5+5=x$
and
$f^{-1}(f(x))=x+5-5=x$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 9 - Section 9.2 - Composite and Inverse Functions - Exercise Set - Page 687: 26
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