# Given two graphs of piecewise functions f(x) and g(x), how do you know whether f[g(x)] and g[f(x)] are continuous at 0?

##### 1 Answer

Oct 17, 2015

There is no simple answer.

#### Explanation:

For

Find

Examine the graphs to find the one-sided limits,

If they are equal and are the same as

Examples

But for

Here is another function I'll call

Neither

Perhaps someone else can summarize a method for this.