1. ## surjection question

Let f and g be surjections from Z to Z and let h = fg be their product. Must h also be surjective? give a proof or counterexample.

I'm pretty sure it's false because something to do with f = g but i just can't think of it

2. solved

f=g

h=f^2 h is an element of Z

let h = -1

i is not an element of the set Z therefore h is not a surjection