Let A = {1,2,3}, B B = = Define the functions f: AC and g: B → C by f(1) = 7, f(2)= 9, f(3) = 7, Does there exist a function h: A B such that go h = f? Does there exist a function k: B→ A such that fok = g? Justify your answers. {4,5,6}, {4,5,6}, C = {7, 8, 9, 10}. g(4) = 10, g(5) = 7, g(6) = 9.

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