Find the r and of `f(x)=(x^(2)-4)/(x-2)`

Explanation

`f(x)=(x^(2)-4)/(x-2)=x+2,x!=2`
`:.` graph of `f(x)` would be
Thus, the range of `f(x)` is `R-{4}`
Further if `f(x)` happens to be continous in its domain then range of `f(x)` is `["min"f(x),"max"f(x)]` over all those intervals where `f(x)` is continuous as shown by following example.