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4 Let f R → R by f(x) = 2x2 1 and g R → R by g(x) = 3x−10 Find g f and f g f g(x) = f(g(x)) = f(3x−10) = 2(3x−10)2 1 g f(x) = g(f(x)) = g(2x2 1) = 3(2x2 1)−10 5 Prove whether each of the following functions is onetoone or not and whether it is onto its codomain or not (a) f R → R by f(x) = 12x3 5.

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