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 - Page 296: 50

Answer

35

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 $(h∘f)(6)$. We know that $(h∘f)(x)=h(f(x))$. Therefore, $(h∘f)(6)=h(f(x))=h(6^{2}+4)=h(36+4)=h(40)=40-5=35$.
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