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10 (10 points) Let f:ZZ. Given the following 4 functions f(x)=2x2+1g(x)=3x+2k(x)=3x3+3h(x)=x4 a) Which functions are injective? b) Which functions are surjective? c) Which functions are

10 (10 points) Let f:ZZ. Given the following 4 functions f(x)=2x2+1g(x)=3x+2k(x)=3x3+3h(x)=x4 a) Which functions are injective? b) Which functions are surjective? c) Which functions are bijective? For the bijective functions, please give their inverse functions. d) What is f(g(x)) ? e) What is h(k(x))

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