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: 40

Answer

$(fg)(-3)=-15$

Work Step by Step

$(fg)(x)=f(x)g(x)$ $(fg)(-3)=f(-3)g(-3)$ First, find $f(-3)$ and $g(-3)$. $f(-3)=(-3)^{2}+4\times(-3)=9-12=-3$ $g(-3)=2-(-3)=2+3=5$ Then, multiply them. $(fg)(-3)=f(-3)g(-3)=-3\times5=-15$
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