Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 44: 54

Answer

We can see a sketch of the graph below.
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Work Step by Step

We can estimate the values of the points: $f(g(-5)) = f(0) = -4$ $f(g(-4)) = f(1.2) = -3$ $f(g(-3)) = f(2.1) = -2$ $f(g(-2)) = f(2.7) = -1$ $f(g(-1)) = f(3) = 0$ $f(g(0)) = f(2.7) = -1$ $f(g(1)) = f(2.1) = -2$ $f(g(2)) = f(1.2) = -3$ $f(g(3)) = f(0) = -4$ $f(g(4)) = f(-2) = -2$ $f(g(5)) = f(-4.2) = 2$ We can see a sketch of the graph below.
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