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: 49

Answer

83

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 $(g∘f)(6)$. We know that $(g∘f)(x)=g(f(x))$. Therefore, $(g∘f)(6)=g(f(6))=g(6^{2}+4)=g(36+4)=g(40)=2(40)+3=80+3=83$.
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