You need to recognise that for all that .
Since the function is identical to a linear function, which does not have asymptotes, that means that x = 3 is not an asymptote, it's just a "hole", or a removable discontinuity.
The graph of y=(x^2-9)/(3x-9) has:
(sorry for not typing out the answer not related to my question)
a) a vertical asymptote at x=3
c) a removable discontinuity at x=3
I know the answer is c but I got confused with answer a.
Doesn't the graph of y=(x^2-9)/(3x-9) has a vertical asymptote at x=3 if numbers are plugged into the equation? How do we know if (x-3) should be factored out or not?