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 259: 74


a. $ 3-x$ b. $(-\infty,2]$

Work Step by Step

Given $f(x)=x^2+1$ and $g(x)=\sqrt {2-x}, x\leq2$, we have: a. $(f\circ g)(x)=(\sqrt {2-x})^2+1=3-x$ b. The domain of the above function can be found as $\{x|x\leq2\}$ or $(-\infty,2]$
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