Question

Explain in general when would you have a hole instead of a vertical asymptote. Given f(x)=(ax+b)/(cx+d)

Answer 1

I said when the denominator is one of the factors of the numerator, is that right?

Answer 2

When the discontinuity is removeable, you have a hole instead of an asymptote.

Answer 3

So basically if you have the same term in the numerator as the denomintor, they can cancel out