Question: Problem III.4 Prove the following statements about functions: 1. The function f(x)-x2 for x ? N s injective, but not surjective. 2. The constant function

Problem III.4 Prove the following statements about functions: 1. The function

Problem III.4 Prove the following statements about functions: 1. The function f(x)-x2 for x ? N s injective, but not surjective. 2. The constant function f(x) = c for x E N is not injective or surjective. 3. The inverse of a bijective function is bijective. 4. The composition of two bijective functions is bijective

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