Intermediate Algebra for College Students (7th Edition)

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: 39

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. $(fg)(-2)=f(-2)g(-2)=-4\times4=-16$
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