Consider the function below. List the answers.
\(\displaystyle{f(x)=\frac{{x^{2}-x-6}}{{x^{2}-3x-10}}}\)
For what real numbers is the function not continuous?
For which of those is the discontinuity removable?
Factor as ( x -3) (x + 2)
____________
( x - 5) ( x + 2)
The function is not continuous at x values that make the denominator = 0 ⇒ x= 5 and x = -2
We have a removable discontinuity at x + 2 = 0 ⇒ x = -2
+73 
