Answer
$(fg)(-2)=-16$
Work Step by Step
$(fg)(x)=f(x)g(x)$
$(fg)(-2)=f(-2)g(-2)$.
First, find $f(-2)$ and $g(-2)$.
$f(-2)=(-2)^{2}+4\times(-2)=4-8=-4$
$g(-2)=2-(-2)=2+2=4$
Then, multiply them.
$(fg)(-2)=f(-2)g(-2)=-4\times4=-16$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 2 - Section 2.3 - The Algebra of Functions - Exercise Set - Page 133: 39
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