# How do you find the domain in interval notation for f(x)=(x-2)/(x+4) ?

The domain is x in (-oo;-4; uu (-4;+oo)
The domain of a function is a largest subset of $\mathbb{R}$, for which function has a defined value. In this example only restriction to the domain is that $x + 4 \ne 0$ because zero cannot be the denominator of a fraction, so x!=-4 => x in (-oo;-4)uu(-4;+oo)