Answer Happy

Consider the two functions f:S→T and h:T→U for non-empty setsS,T,U.Decide whether each of the following statements is true or false,and prove each claim. (Ideally, proving properly and not usingprove by contradiction).a) If h∘f is surjective, then f is surjective.b) If h∘f is injective, then f is injective.c) If h∘f is surjective and h is injective, then f issurjective.