# How do you find the domain of f(x) = {(x - 1)/(x + 4)}?

The domain represents the set of $x$ values that your function can accept.
In your case the only value that cannot be accepted is the one that makes the denominator equal to zero, i.e., $x = - 4$ (you cannot divide by zero).
So your domain is all real $x$ except $x = - 4$.