Q3. consider the function h (n x n) 5 pts n given by: if mn m, h(m, п) — шах(m, п} if m q3. consider the function h : (n×n) →n given by: [5 pts] h(m, n) = max{m, n} =   m, if m ≥ n n, if m < n that is, h takes two natural numbers as inputs and outputs the one that is larger. also define g : n→ (n×n) to be the function g(k) = (k2,k3).
(a) show that h surjective but not injective. (b) is h◦g surjective? prove your answer. (c) is h◦g injective? prove your answer