# HELP I do not understand!

1. Mar 22, 2008

### Math_Geek

HELP!!! I do not understand!

1. The problem statement, all variables and given/known data
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. Relevant 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

2. Mar 22, 2008

### tiny-tim

… 'tis I … tiny-tim! …

… don't worry that pretty little head …

Just choose an epsilon, and find a delta such that f(3 + x) - 6 < epsilon, for all x < delta, and all your worries will go away!

3. Mar 22, 2008

### Math_Geek

so I just solve it like a limit problem? Thank you so much, I just knew someone would help a girl in distress lol.