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**[SOLVED] Analysis Question, I posted yesterday!**

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

what I did was I took the limit as x approached 3 of x+3, and found for 0<|x+3|<epsilon which will equal delta, then |X+3-6|=|x-3| which is less than epsilon. So then I know that the limit of the function =the limit of f(3) so therefore continuous at x=3. Is there anymore that I need?

Thanks,

Michelle