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: 119

Answer

$f(x) = x + 1$ and $g(x) = x -1$

Work Step by Step

Let $f(x) = x + 1$ and $g(x) = x -1$: $$f(g(x)) = (x -1) +1 = x$$$$g(f(x)) = (x +1) -1 = x$$ Therefore, $f(g(x)) = g(f(x))$
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