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

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