2. What are the domain, codomain, and image of the following functions: Z with g(n) = |n] +5 (a) g:Z (b) f: R {-1} R with f(n) = 2n/(n + 1) (c) fog (d) f-1 - Note: and g in (c) and (d) are given in (a) and (b), respectively. 3. Prove whether the following functions are injective, surjective, or bijective: (a) f: R {1} R with f(n) = 2n/(n + 1) (b) g:Z Z with f(n) = |n] +5 (c) fog (d) g1 -1 Note: and g in (c) and (d) are given in (a) and (b), respectively.