Question: Let f : R R. Prove that f is continuous on R if and only if f-1 (I) is open in R for every

Let f : R → R. Prove that f is continuous on R if and only if f-1 (I) is open in R for every open interval I.

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Suppose f R R is continuous and I a b Let x f 1 I B Y definition fx I Since I is open there is ... View full answer

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