Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.1 - The Algebra of Functions - Practice: 3

Answer

$\textbf{a.}\sqrt {x+1}$ $\textbf{b.}\sqrt x+1$

Work Step by Step

$f(x)=\sqrt x$ and $g(x)=x+1$ $\begin{align} \textbf{a.}(f\bullet g)(x)&=f(g(x))\\&=f(x+1)\\&=\sqrt {x+1} \end{align}$ $\begin{align} \textbf{b.}(g\bullet f)(x)&=g(f(x))\\&=g(\sqrt x)\\&=\sqrt x+1 \end{align}$
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