Answer
$x^{2}+x-12$
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 $(f+h)(x)$. We know that $(f+h)(x)=f(x)+h(x)$.
Therefore, $(f+h)(x)=(x^{2}-9)+(x-3)=x^{2}+x-9-3=x^{2}+x-12$.
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
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: 30
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