Question: (QUESTION 2) Let A, B, C be three sets and F : A - B, G : B - C, H : C- A three

(QUESTION 2) Let A, B, C be three sets and F : A - B, G : B - C, H : C- A three functions such that the composition Ho(GoF) : A - A is the identity function 14 : A - A je. i.e, Ho (Go F) = 1A (2a) Show that necessarily F is injective and H is surjective. (2b) Show that if F is surjective and H is injective then G is bijective

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