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.
Work Step by Step
We are given that:
$f(x)=x-7$
$g(x)=x^2$
$fog(x)=f(g(x))=f(x^2)=x^2-7$
$gof(x)=g(f(x))=g(x-7)=(x-7)^2=x^2-14x+49$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
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
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