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October 4th, 2009, 04:46 PM  #1 
Newbie Joined: Oct 2009 Posts: 1 Thanks: 0  Sub Groups with real value functions Question
Please help with the below problem. Let F be the set of all realvalued functions with domain R and let F' be the subset of F consisting of those functions that have a nonzero value at every point in R. Is the subset F' a subgroup of the group F under addition? My notes says it fails closure under addition. Can someone please explain why? 
October 4th, 2009, 10:46 PM  #2 
Senior Member Joined: Oct 2007 From: Chicago Posts: 1,701 Thanks: 3  Re: Sub Groups with real value functions Question
Take two constant functions: f(x)=c and f(x)=c


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