1. The problem statement, all variables and given/known data Let [tex]f: A\to B[/tex]. I'm trying to find a function [tex]g: B\to C[/tex] such that [tex]g[/tex] is not [tex]1-1[/tex] but [tex]g\circ f[/tex] is. The original assignment (which I've completed) was to prove that for all functions [tex]f: A\to B[/tex] and [tex]g: B\to C[/tex], if [tex]g\circ f[/tex] is [tex]1-1[/tex], then so is [tex]f[/tex]. However, in the process of completing the assignment, I tried (out of curiosity) to find g's that weren't 1-1. But I couldn't.