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Question: for a function f gt define f to be...

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For a function f: \mathbb{R} -->\mathbb{R} , define f to be increasing on \mathbb{R} iff for all s,t \epsilon \mathbb{R} , if s<t, then f(s)<f(t). For instance, f given by f(x) = 3x + 2 is increasing.

a) Assume that f is increasing on \mathbb{R} and it has an inverse function. Prove that its incerse function is increasing on \mathbb{R}

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