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: 56

Answer

$2x-7$

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 $(g∘h)(x)$. We know that $(g∘h)(x)=g(h(x))$. Therefore, $(g∘h)(6)=g(h(x))=g(x-5)=2(x-5)+3=2x-10+3=2x-7$.
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