Hey guys, wasn't sure what forum to post this in. So if this is the wrong forum, I apologize. Anyway, I have a problem in Real Analysis that I can't quite get. Here it is: Let f:A->B and R is a relation on A such that xRy iff f(x) = f(y). a.) Prove R is an equivalence relation b.) Show g:A->E is surjective c.) Show h:E->B is injective d.) Prove f(x) = h(g(x)). I solved parts a, b, and c. My problem is part d... I don't even know where to begin. It just doesn't make sense to me when I think about it. Thanks for any help. EDIT: I just realized I didn't put what E is. E is the equivalence classes on any particular element. So, it's the set of all equivalence classes for this function.