Answer
$f(g(x))=2x+11$
$g(f(x))=2x+4$
Work Step by Step
f of g(x) means $f(g(x))$
$g(x)$ is given as $x+7$
Therefore $f(g(x))=f(x+7)=2(x+7)-3=2x+11$
g of f(x) means $g(f(x))$
$f(x)$ is given as $2x-3$
So $g(f(x))=g(2x-3)=2x-3+7=2x+4$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Section 9.1 - The Algebra of Functions; Composite Functions - Exercise Set - Page 540: 17
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