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 - Page 295: 39



Work Step by Step

We are given that $f(x)=x^{2}-9$, $g(x)=2x$, and $h(x)=x-3$. We are asked to find the value of $(g+h)(-\frac{1}{2})$. We know that $(g+h)(x)=g(x)+h(x)$. Therefore, $(g+h)(-\frac{1}{2})=(2(-\frac{1}{2}))+(-\frac{1}{2}- \frac{6}{2})=(-\frac{2}{2})+(\frac{-1-6}{2})=(-\frac{2}{2})+(\frac{-7}{2})=-\frac{2}{2}-\frac{7}{2}=\frac{-2-7}{2}=\frac{-9}{2}=-\frac{9}{2}$.
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