Question

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

Answer 1

The domain is `x in (-oo;-4; uu (-4;+oo)`

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