# What is the domain of f(x) = {(x - 1)/(x + 4)}?

Apr 15, 2015

$f \left(x\right) = \left(\frac{x - 1}{x + 4}\right)$
has a domain of all values for which $f \left(x\right)$ is defined.

$f \left(x\right)$ is defined for all values of $x$ except the value that would cause the denominator to be $= 0$

That is
the domain of $f \left(x\right)$
are all values except $\left(- 4\right)$

In set notation
Domain of $f \left(x\right) = \left(- \infty , - 4\right) \cup \left(- 4 , + \infty\right)$