Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.4 - Matrix Solutions to Linear Systems - Exercise Set - Page 231: 68

Answer

$15$.

Work Step by Step

The given functions are $f(x)=3x$ and $g(x)=2x-3$. Plug $x=-1$ into the given functions. $f(-1)=3(-1)$ and $g(-1)=2(-1)-3$ Simplify. $f(-1)=-3$ and $g(-1)=-5$ Use $(fg)(-1)=f(-1)\cdot g(-1)$. Substitute both functions. $(fg)(-1)=(-3)\cdot (-5)$ Simplify. $(fg)(-1)=15$.
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