Suppose that $f:R\rightarrow R $ is continuous and does have an inverse function. How can I prove that $f^{-1}$ is also continuous?
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What did you try? – José Carlos Santos Dec 09 '17 at 18:48
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Also https://math.stackexchange.com/q/541082/42969, https://math.stackexchange.com/q/2067813/42969. – Martin R Dec 09 '17 at 18:48
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1Related – Giuseppe Negro Dec 09 '17 at 18:49