# How do you find the domain of the function f(x) = (2x + 5)/(2 - x)?

The Domain of $f \left(x\right)$ is the set of all values for which $f \left(x\right)$ is valid.
$f \left(x\right) = \frac{2 x + 5}{2 - x}$
exists for all values of $x$ except $x = 2$ (since division by zero is illegal).
Therefore the Domain of $f \left(x\right)$ is
$\left(- \infty , 2\right) \cup \left(2 , + \infty\right)$