Hi there,

I encountered a few questions I really have no idea how to even start approaching... Any help would be much appreaciated!

(id = identity)

Question 1:

prove that if f: A->B is a surjective (onto) function, then there exists a function g: B->A such that f composition g = idB

Question 2:

let f: A->B, g: A->B, h: B->A functions.

prove or disprove:

1. if h composition f = idA then f composition h = idB

2. if h composition f = idA and f is surjective (onto), then f composition h = idB

3. if h composition f = idA and h composition g = idA then g=f.

Thank you (: