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Are there continuous functions f:R. →R such that f(x) ∈ Q for x∈ R\Q and f(x)∈ R\Q for x∈ Q?
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Are there continuous functions f:R. →R such that f(x) ∈ Q for x∈ R\Q and f(x)∈ R\Q for x∈ Q?
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Are there continuous functions f:R. →R such that f(x) ∈ Q for x∈ R\Q and f(x)∈ R\Q for x∈ Q?...
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