Question

What is the range of the function `f(x) = 4 /(x -3)`?

Answer 1

The domain is `D_f=R-{3}` and the range is

`y=f(x)=4/(x-3)`

`x-3=4/y`

`x=3+4/y` (For this to have a meaning `y!=0`)

Hence the range is `R_f=R-{0}`