# How do you find the domain of  (x-2)/(4-x)?

The Domain is $\mathbb{R} - \left\{4\right)$.
We notice that, when $x = 4$, (x-4)=0, i.e., the $D r .$ will be $0$, and, since division by $0$ is not possible, we must have, $x \ne 4$
In other words, the Domain is $\mathbb{R} - \left\{4\right)$.