Question

what are the points of discontinuity? I have the answer but need someone to check and make sure it's right.

y=(x-3)/(x^2-12x+27)

Answer 1

I got -9 and -3

Answer 2

The signs of your answers are slightly off.
If you factorize the denominator, you will get:
(x-9)(x-3) which gives x^2-12x+27.
However, x=9 and x=3 would cause the denominator to vanish.
because (x- -9)\( \ne \) 0, and \( (x- -3) \ne 0 \)

Answer 3

Did you also notice that there are two kinds of discontinuities in this example?

Answer 4

alright i see what i did wrong