### Select your language

Suggested languages for you:

Americas

Europe

Q. 6

Expert-verified
Found in: Page 256

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# True or False. The domain of the composite function $\left(f\circ g\right)\left(x\right)$ is the same as the domain of $g\left(x\right)$.

This statement is true.

See the step by step solution

## Step 1. Given Information.

The domain of the composite function $\left(f\circ g\right)\left(x\right)$ is the same as the domain of $g\left(x\right)$.

## Step 2. Domain of a composite function.

The function $f\left(g\left(x\right)\right)=\left(f\circ g\right)\left(x\right)$

$⇒f\left(g\left(x\right)\right)=g\left(x\right)$.