# What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2- 3x - 18)/((x^2 - 9) #?

##### 1 Answer

Nov 17, 2015

Factorizing the numerator as a trinomial and the denominator as a difference of 2 squares, we may write the function as

Hence, since division by zero is not allowed, we can conclude that

The same result would apply were you to use long division to rewrite the function