Question

What are the asymptotes of `(x^2 - 5x + 6)/ (x - 3)`?

Answer 1

`y=x-2` where `x!=3`

Explanation:

`x^2-5x+6 = (x-2)(x-3)`

So we have: `(x^2-5x+6)/(x-3) = ((x-2)cancel((x-3)))/(cancel((x-3))`

So as a general equation we have `y=x-2`

But this has a limiting factor that `(x-3)!=0 => x!= 3`

So 3 is an excluded value