College Algebra (6th Edition)

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



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.
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