College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.1 - Composite Functions - 6.1 Assess Your Understanding - Page 408: 5



Work Step by Step

In order to consider the composite function $f(g(x))$, we replace the x in $f(x)$ with $g(x)$. This gives: $$f(x)= x^2 \\ f(g(x)) = (\sqrt{x+9})^2 \\ f(g(x))=x+9 \\ f(g(4))=4+9=13$$ The statement is false.
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