Suppose that the function g : R -> R is continuous and that g(x) = 0 if x is rational. Prove that g(x)=0 for all x in R.

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- March 29th 2009, 05:40 AMwvlilgurlProof Question 2
Suppose that the function g : R -> R is continuous and that g(x) = 0 if x is rational. Prove that g(x)=0 for all x in R.

- March 29th 2009, 06:46 AMstapel