I am stumped with this question.

Suppose that ƒ: (a,b)→R is continuous and that ƒ(r)=0 for every rational number r in (a,b). Prove that ƒ(x)=0 for all x in (a,b)

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- May 3rd 2009, 04:42 PMtrojanlaxx223Real Analysis....Any Help??
I am stumped with this question.

Suppose that ƒ: (a,b)→R is continuous and that ƒ(r)=0 for every rational number r in (a,b). Prove that ƒ(x)=0 for all x in (a,b) - May 3rd 2009, 05:02 PMredsoxfan325
You'll find the answer here.