Answer
(a) $f(g(x)) = \sqrt{x-3}$
(b) $Domain_{f(g(x))}: x \geq 3$
Work Step by Step
$$f(x) = \sqrt{x}$$ $$g(x) = x-3$$
$f(g(x)) = \sqrt{x-3}$
$Domain_{f(g(x))}: x-3 \geq 0$
$Domain_{f(g(x))}: x \geq 3$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 298: 72
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