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Please show all work Suppose that g is a function from A to B and f is a func- tion from B to C. a)

Please show all work

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Suppose that g is a function from A to B and f is a func- tion from B to C. a) Show that if both f and g are one-to-one functions, then fog 1s also one-to-one. b) Show that if both f and g are onto functions, then fog 1s also onto

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