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