Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.1 Composite Functions - 4.1 Assess Your Understanding - Page 280: 24



Work Step by Step

Step 1. Domain of $g(x)$: $\{x|x\ne0 \}$. Step 2. For $(f\circ g)(x)$: $g(x)+3\ne0 \Longrightarrow \frac{2}{x}+3\ne0 \Longrightarrow x\ne-\frac{2}{3}$. Step 3. Thus Domain of $(f\circ g)(x)$: $\{x|x\ne-\frac{2}{3},0\}$.
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