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Question: please help me with detailed answers thank you ...

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Problem 3: Replacement for homework 9-12. Let f : R → R and g : R → R be continuous functions such that f(x) = g(x) for every x є Q. Using the definition of continuity, show that f(x) = g(x) for all real numbers (Hint: for c є R\Q write the definition of continuity of f and g at c and using triangle inequality, show that for every ε > 0, |J(C) -g(c)| < 2e.)please help me with detailed answers, thank you! :)

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