Define g:Z→Z by g(n)=2n+3 where Z denotes the set of all integers.
a. (i) Write the set that represents the range of g.
b. (ii) Is g an onto function? Prove your answer.
c. (iii) Identify all integers k for which the equation g(n)=k has no solution in Z, and justify why these k fail to have pre-images.