Answer
a. $\sqrt {x-2}$
b. $[2,\infty)$
Work Step by Step
Given $f(x)=\sqrt x, x\geq0$ and $g(x)=x-2$, we have:
a. $(f\circ g)(x)=\sqrt {x-2}$
b. The domain of the above function can be found as $\{x|x\geq2\}$ or $[2,\infty)$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 258: 71
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