Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - Chapter Review - Cumulative Review - Page 165: 14

Answer

a) $-4$; b) $(-4,\infty)$

Work Step by Step

We are given the functions: $f(x)=3x+5$ $g(x)=2x+1$ a) Solve the equation $f(x)=g(x)$: $3x+5=2x+1$ $3x+5-2x=2x+1-2x$ $x+5=1$ $x+5-5=1-5$ $x=-4$ b) Solve the inequality $f(x) \gt g(x)$: $3x+5\gt 2x+1$ $3x+5-2x\gt 2x+1-2x$ $x+5\gt 1$ $x+5-5\gt 1-5$ $x\gt -4$ The solution set is: $(-4,\infty)$
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