Question

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

Answer 1

Domain: `{x: x!= 3}`
Range: `{y:y!=0}`

Explanation:

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`).