24. Suppose that ƒ:Z50toZ15 (co-domain is Z 15) is a group homomorphism with ƒ(7)=6.

a. Determine ƒ(x).

b. Determine ƒ(Z50).

c. Determine ker ƒ.

d. Determine ƒ–1({3}).

I am lost particularly on b, a,c and d I think I will be able to get by myself. Any suggestions to help me for b?

Thanks