# How do you find the domain and range of  (4)/(x-3)?

Domain: $\left\{x : x \ne 3\right\}$
Range: $\left\{y : y \ne 0\right\}$
There is vertical asymptote at $x = 3$ because the function is not defined at that point. Also, there is horizontal asymptote at $y = 0 ,$ because there is no finite value of $x$ for which the function will be $0$ (i.e $y = 0$).