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Question: 5 suppose x y and z are sets and f...

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5) Suppose x, y and Z are sets, and f : X → y and g : y → Z are functions. (a) If f and g are onto, prove that go f : X → Z is onto. (b) If gof : X → Z is onto, prove that g is onto. (c) Give an example in which g o f is onto but f is not onto.

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