Understanding Continuity: When is a Function Continuous?

[DespicableMe]

Homework Statement

You're simply given f(x)/g(x) and it asks, when is the function continuous?

There was one that was definitely wrong, so I remember these remaining choices:
a) It is continuous when f(x) and g(x) are defined
b) " " when g(x) cannot equal 0
c) " " when g(x) is defined.

The Attempt at a Solution

I chose c) but I realized that it could be b) because you can't have a denominator 0. At the time, I was thinking that defined meant having a value that is not 0 because usually when a function has a denominator 0, we call the function "undefined."

Can someone please clarify? :)

 

[Mark44]

The answer is b. "Defined" just means that a function has a value.