# What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2-100) / (x+10) #?

##### 1 Answer

Mar 19, 2016

The only discontinuity is at

#### Explanation:

Rational functions are continuous on their domains.

The domain of

So,

The discontinuity is removable if and only if

# = lim_(xrarr-10) (x-10) = -20#

The limit exists, so the discontinuity is removable.