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: 61

Answer

8

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 $(f∘g)(-\frac{1}{2})$. We know that $(f∘g)(x)=f(g(x))$. Therefore, $(f∘g)(-\frac{1}{2})=f(g(-\frac{1}{2}))=f(2(-\frac{1}{2})+3)=f(-1+3)=f(2)=2^{2}+4=4+4=8$.
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