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 21: 80

Answer

$fog(x)=f(g(x))=f(x^2)=x^2-7$ $gof(x)=g(f(x))=g(x-7)=(x-7)^2=x^2-14x+49$ See graph.
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Work Step by Step

We are given that: $f(x)=x-7$ $g(x)=x^2$ $fog(x)=f(g(x))=f(x^2)=x^2-7$ $gof(x)=g(f(x))=g(x-7)=(x-7)^2=x^2-14x+49$
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