does this problem have removable discontinuity?

Question

jessicawade · Answer

$$f(x)=x^2-5x-36 \over 6x^2-13x+6$$

jessicawade · Answer

@Hero

anonymous · Answer

https://www.desmos.com/calculator/8dcquq9sfl

anonymous · Answer

it DOES have discontinuiyty, but removable continuity is not what I would call it.

jhannybean · Answer

A removable discontinuity happens when you have completely factored both the numerator and denominator and are able to cancel out "like-factors", such as, for example $$\frac{(x+2)(x+3)}{(x-1)(x+3)}$$ In this case, $(x+3)$ would be a removable discontinuity because it can be canceled both in the numerator and denominator.

jhannybean · Answer

So what you want to do is factor out both the numerator and denominator, and see if any "like-factors" cancel out.