Answer
a. $ 5-x$
b. $(-\infty,1]$
Work Step by Step
Given $f(x)=x^2+4$ and $g(x)=\sqrt {1-x}, x\leq1$, we have:
a. $(f\circ g)(x)=(\sqrt {1-x})^2+4=5-x$
b. The domain of the above function can be found as $\{x|x\leq1\}$ or $(-\infty,1]$
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 259: 73
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