Answer
$f(g(x))=\sqrt{-5x+2}$
$g(f(x))=-5\sqrt{x}+2$
Work Step by Step
f of g(x) means $f(g(x))$
$g(x)$ is given as $-5x+2$
Therefore $f(g(x))=\sqrt{-5x+2}$
g of f(x) means $g(f(x))$
$f(x)$ is given as $\sqrt{x}$
Therefore $g(f(x))=-5\sqrt{x}+2$
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: 23
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