Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.8 Function Operations and Composition - 2.8 Exercises - Page 287: 34

Answer

(a) $2$ (b) $-3$ (c) $2$ (d) $-2$

Work Step by Step

(a) Use the given graph, we have $f(0)=0, g(0)=2$, thus $(f+g)(0)=0+2=2$ (b) Use the given graph, we have $f(-1)=-2, g(-1)=1$, thus$(f-g)(-1)=-2-1=-3$ (c) Use the given graph, we have $f(1)=2, g(1)=1$, thus$(fg)(1)=2(1)=2$ (d) Use the given graph, we have $f(2)=4, g(2)=-2$, thus$(\frac{f}{g})(2)=\frac{4}{-2}=-2$
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