Answer
False.
Work Step by Step
False, those two are not necessarily equal. E.g. $f(x)=2x+1,g(x)=3x+8$.
Then $f\circ g=f(g(x))=f(3x+2)=2(3x+8)+1=6x+17$,
$g\circ f=g(f(x))=g(2x+1)=3(2x+1)+8=6x+11$
We can see that these two are not equal.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 300: 112
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