Answer
$x^{2}-x-6$
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 $(f-h)(x)$. We know that $(f-h)(x)=f(x)-h(x)$.
Therefore, $(f-h)(x)=(x^{2}-9)-(x-3)=x^{2}-x-9+3=x^{2}-x-6$.
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: 29
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