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 5 - Trigonometric Functions - Section 5.3 Properties of the Trigonometric Functions - 5.3 Assess Your Understanding - Page 417: 1


$\begin{aligned} \text { Domain of } f(x) : \left\{x | x \neq-\frac{1}{2}\right\} \end{aligned}$

Work Step by Step

For the function to be defined, $2 x+1 \neq 0$.Thus, \begin{align*} 2x+1&\ne0\\ 2x &\neq-1 \\ x &\neq-\frac{1}{2} \end{align*} $\therefore f(x)$ is defined for all real numbers except $-1 / 2$. Domain of $f(x) : \left\{x | x \neq-\frac{1}{2}\right\}$
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