Suppose f: R -> R is a continuous function with the property that f(x) = 0 for every x in Q. Prove that f(x) = 0 for every x in R. (R = real numbers and Q = rational numbers).
Suppose f: R -> R is a continuous function with the property
that f(x) = 0 for every x in Q. Prove that f(x) = 0 for every x in R. (R = real numbers and Q = rational numbers).
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