Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.3 - Polynomial Functions, Graphs, and Composition - 4.3 Exercises: 51

Answer

53

Work Step by Step

We are given that $f(x)=x^{2}+4$, $g(x)=2x+3$, and $h(x)=x-5$. We are asked to find $(f∘h)(-2)$. We know that $(f∘h)(x)=f(h(x))$. Therefore, $(f∘h)(-2)=f(h(-2))=f(-2-5)=f(-7)=(-7)^{2}+4=49+4=53$.
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