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: 24

Answer

$f(x)=-x^{2}-10$ and $g(x)=-x-5$

Work Step by Step

We know that $(f-g)(x)=f(x)-g(x)$. Therefore, we know that the two polynomial functions will have to satisfy the following condition: $f(x)-g(x)=-x^{2}+x-5$ Two such functions that satisfy this condition are: $f(x)=-x^{2}-10$ and $g(x)=-x-5$ $f(x)-g(x)=(-x^{2}-10)-(-x-5)=-x^{2}+x-10+5=x^{2}+x-5$
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