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: 40

Answer

$-\frac{15}{4}$

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 $(g+h)(-\frac{1}{4})$. We know that $(g+h)(x)=g(x)+h(x)$. Therefore, $(g+h)(-\frac{1}{4})=(2(-\frac{1}{4}))+(-\frac{1}{4}- \frac{12}{4})=(-\frac{2}{4})+(\frac{-1-12}{4})=(-\frac{2}{4})+(\frac{-13}{2})=-\frac{2}{4}-\frac{13}{4}=\frac{-2-13}{4}=\frac{-15}{4}=-\frac{15}{4}$.
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