Precalculus (6th Edition) Blitzer

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

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 $[2,\infty)$
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