Prove that the Cantor function is not differentiable on the Cantor set.

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A: Answer and explanation is given..

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Q: Prove that f-1 of = Idom f iff f-1 is a function from ran f to dom f.

A: To prove: f-1∘f=Idom f iff f-1 is a function from ran f to dom f

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A: g is not necessary to be onto. See the attachment

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A: We can solve this using definition of one to one and onto

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A: Given, the function f : {1, 2, 3} → {1, 2, 3} is one-one.

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Q: Evaluate | A, where A is the Cantor function.

A: as we know cantor function is continuous but not absolutely conitnuous on closed interval 0,1. here…

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Q: Prove that if function then f is not injective. Provide a topological proof. Remember sa continuous

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