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: 93


The value of $\left( g\circ f \right)\left( 0 \right)$ is $-6$.

Work Step by Step

The composition of f with g can be defined as the function $\left( f\circ g \right)$ and $\left( f\circ g \right)\left( x \right)$ which is equivalent to $f\left( g\left( x \right) \right)$. Consider, $\left( g\circ f \right)\left( 0 \right)=g\left( f\left( 0 \right) \right)$ Here, $f\left( 0 \right)=2$. Then, $g\left( f\left( 0 \right) \right)=g\left( 2 \right)$ And value of $g\left( 2 \right)=-6$. Therefore, $\left( g\circ f \right)\left( 0 \right)=-6$ Hence, the value of $\left( g\circ f \right)\left( 0 \right)$ is $-6$.
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