University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises - Page 19: 16


$a. 3$ $b. 1$ $c. 0$ $d. 2$ $e. 1$ $f. \frac{5}{2}$

Work Step by Step

$a.\quad f(g(0))=f(0-1)=2-(-1)=3$ $b.\quad g(f(3))=g(2-3)=g(-1)=-(-1)=1$ $c.\quad g(g(-1))=g(-(-1))=g(1)=1-1=0$ $d.\quad f(f(2))=f(2-2)=f(0)=2-0=2$ $e.\quad g(f(0))=g(2-0)=g(2)=2-1=1$ $f.\quad f(g(\frac{1}{2}))=f(\frac{1}{2}-1)=f(-\frac{1}{2})$ $=2-(-\frac{1}{2})=\frac{5}{2}$
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