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: 57

Answer

$2x-2$

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