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**HELP!!! I do not understand!**

**1. Homework Statement**

Define f(x)=2x, x is rational and x+3 when x is irrational. Find all points where g(x) is continuous and prove continuity at these points

**2. Homework Equations**

From analysis homework and using the real definition of continuity

**3. The Attempt at a Solution**

Graphing g(x) I can see that the only point that will be continuous will be at x=3, how would you show using the definition that this point is continuous. Also is this the only point. I have been struggling, please help a girl in distress. lol