Answer
$(fg)(6)=-240$
Work Step by Step
$(fg)(x)=f(x)g(x)$
$(fg)(6)=f(6)g(6)$.
First, find $f(6)$ and $g(6)$.
$f(6)=6^{2}+4\times6=36+24=60$
$g(6)=2-6=-4$
Then, multiply them.
$(fg)(6)=f(6)g(6)=60\times(-4)=-240$
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: 42
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