Answer
$f(g(x))=3x+11$
$g(f(x))=3x+31$
Work Step by Step
f of g(x) means $f(g(x))$
$g(x)$ is given as $3x+1$
Therefore $f(g(x))=(3x+1)+10=3x+11$
g of f(x) means $g(f(x))$
$f(x)$ is given as $x+10$
Therefore $g(f(x))=3(x+10)+1=3x+30+1=3x+31$
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: 18
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