Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - Review Exercises: Chapter 12 - Page 843: 12

Answer

$f\left( x \right)=\sqrt{x}\text{ and }g\left( x \right)=3-x$.

Work Step by Step

$h\left( x \right)=\sqrt{3-x}$ By observing the given function, it can be noted that the possible functions of f and g are $f\left( x \right)=\sqrt{x}\text{ and }g\left( x \right)=3-x$. $\begin{align} & h\left( x \right)=\left( f\circ g \right)\left( x \right) \\ & h\left( x \right)=f\left( g\left( x \right) \right) \\ \end{align}$ Use the function $g\left( x \right)=3-x$, $h\left( x \right)=f\left( 3-x \right)$ Use the function $f\left( x \right)=\sqrt{x}$, $h\left( x \right)=\sqrt{3-x}$
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