College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 77

Answer

$g(x)=5-\frac{7}{2}x$

Work Step by Step

We are given: $f(x)=3x+1$ and: $(f+g)(x)=6-\displaystyle \frac{1}{2}x$ Thus: $g(x)=(f+g)(x)-f(x)$ $g(x)=6-\displaystyle \frac{1}{2}x-3x-1$ $g(x)=5-\frac{7}{2}x$
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