Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.8 - Inverse Functions - Exercise Set - Page 270: 54


The value of $f\left( g\left( 4 \right) \right)$ is $-1$.

Work Step by Step

$\left( f\circ g \right)$ can be defined as the composition of the function f with g and $\left( f\circ g \right)\left( x \right)$, which is equivalent to $f\left( g\left( x \right) \right)$. Now study the above table very carefully to solve for the values of the required function. Also, find the value of $f\left( g\left( 4 \right) \right)$: So from the above table, the value of $g\left( 4 \right)$ is $2$. Therefore, $f\left( g\left( 4 \right) \right)=f\left( 2 \right)$ And from the above table, the value of $f\left( 2 \right)$ is $-1$. So, the value of the composition $f\left( g\left( 4 \right) \right)$ is $-1$. Thus, the value of $f\left( g\left( 4 \right) \right)$ is $-1$.
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