Question: 3. (15 points) Consider the function f: NP(N) given by f(x) {dN: dx}. (a) (2 points) Write out all of the elements of the

3. (15 points) Consider the function f: NP(N) given by f(x) {dN:

3. (15 points) Consider the function f: NP(N) given by f(x) {dN: dx}. (a) (2 points) Write out all of the elements of the set f(10) = {dN:d|10}. (b) (6 points) Is f one-to-one? Prove your answer.

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