Answer
$g(x)=5-\frac{7}{2}x$
Work Step by Step
$(f+g)(x)=f(x)+g(x)=(3x+1)+g(x)=6-\frac{1}{2}x$, thus $g(x)=5-\frac{7}{2}x$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 54: 73
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