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: 55

Answer

$2x^{2}+11$

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 $(g∘f)(x)$. We know that $(g∘f)(x)=g(f(x))$. Therefore, $(g∘f)(6)=g(f(x))=g(x^{2}+4)=2(x^{2}+4)+3=2x^{2}+8+3=2x^{2}+11$.
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