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 - 3.1 Properties of Linear Functions and Linear Models - 3.1 Assess Your Understanding - Page 127: 34

Answer

a) $x=2$; b) $(-\infty,2]$

Work Step by Step

a) $f(x)=g(x)$ The intersection point of the two graphs is $(2,5)$. The solution of the given equation is the $x$-coordinate of the intersection point: $x=2$ b) $f(x)\leq g(x)$ The solution of the inequality consists of the values of $x$ for which the graph of $f$ is below or equal to the graph of $g$: $x\leq 2$ $x\in(-\infty,2]$
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