# What are the removable and non-removable discontinuities, if any, of #f(x)=(3x^2-7x-6 )/ (x-3 ) #?

##### 2 Answers

Removable discontinuity at

No non-removable discontinuity.

#### Explanation:

We have the only discontinuity at

#### Explanation:

When dealing with quotients of continuous functions, discontinuities arise at points that nullify the denominator.

In our specific case

Intuitively, a discontinuity is removable if we can extend the function to a continuous one by assigning a value to the point where the discontinuity occurs. More formally, if *removable* if exists finite

In our specific case we want to check if

Since the limit exists and is finite, **removable discontinuity**.