Question

does this problem have removable discontinuity?

Answer 1

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

Answer 2

@Hero

Answer 3

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

Answer 4

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

Answer 5

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.

Answer 6

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