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: 31

Answer

6

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 $(f-h)(-3)$. We know that $(f-h)(x)=f(x)-h(x)$. Therefore, $(f-h)(-3)=((-3)^{2}-9)-((-3)-3)=(9-9)-(-3-3)=(0)-(-6)=0+6=6$.
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