Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.1 - The Algebra of Functions - Exercise Set - Page 842: 1


$a)$ $(f+g)(x)=3x-6$ $b)$ $(f-g)(x)=-x-8$ $c)$ $(f\cdot g)(x)=2x^{2}-13x-7$ $d)$ $\Big(\dfrac{f}{g}\Big)(x)=\dfrac{x-7}{2x+1}$

Work Step by Step

$f(x)=x-7;$ $g(x)=2x+1$ $a)$ $(f+g)(x)$ $f(x)+g(x)=x-7+2x+1=3x-6$ $b)$ $(f-g)(x)$ $f(x)-g(x)=x-7-(2x+1)=x-7-2x-1=-x-8$ $c)$ $(f\cdot g)(x)$ $f(x)\cdot g(x)=(x-7)(2x+1)=2x^{2}+x-14x-7=...$ $...=2x^{2}-13x-7$ $d)$ $\Big(\dfrac{f}{g}\Big)(x)$ $\dfrac{f(x)}{g(x)}=\dfrac{x-7}{2x+1}$
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