Talk:Abstract Algebra/Functions

I found the definition of the image function hard to follow. Would it be correct to write the second half of it as follows? (in symbols of course): "for S which is a subset of A, the function returns g(x) which is a subset of B, such that every x is a member of S" (addition underlined). This would make clear that g(x) refers to a set of values returned by g(-), not to the function g(-) itself. Of course we already said that the image function maps from subsets of A to subsets of B, but this small redundancy would help those of us who are not math pros. (Don't know if you've ruled out illustrations, but the picture in the Wikipedia article on Image (mathematics) immediately made clear what is meant.) Davidhof (discuss • contribs) 17:57, 9 October 2011 (UTC)