Answer
$f\circ g(x)=x$
$g\circ f(x)=x$
Work Step by Step
$f(x)=\log_{5}x
$ $g(x)=5^x$
$(f\circ g)(x)=\log_{5}5^x=x\log_{5}5=x$
$(g\circ f)(x)=5^{\log_{5}x}=x$
Since $(f\circ g)(x)=(g\circ f)(x)=x,$ $f(x)$ and $g(x)$ are Inverse of each other.
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 - Mid-Chapter Check Point - Page 715: 3
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