
Applied Math Applied Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 20th, 2013, 09:02 PM  #1 
Newbie Joined: Apr 2013 Posts: 2 Thanks: 0  Subset of a Function g[a] subset g[b]
Hi thanks for your help, Given a function g: X > Y , and A subset B subset X , prove that g[A] subset g[B] It seems kinda obvious to me, since a function cannot map to more than one element and A subset B is given, i'm unsure how to write this as a proof however? 
April 21st, 2013, 06:20 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 932 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Subset of a Function g[a] subset g[b]
Given an element a in A, show that g(a) is in G(B).


Tags 
function, subset 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Bounded Subset of Function Space  DonaldDuck  Real Analysis  1  June 18th, 2013 09:29 AM 
subset of permutations  andreaugust  Applied Math  16  June 22nd, 2012 11:42 AM 
Subset problem  pikachu26134  Algebra  6  July 26th, 2011 07:34 PM 
Countable Subset  Jimena29  Real Analysis  4  November 10th, 2009 03:09 PM 
Subset of S  sansar  Linear Algebra  1  March 16th, 2009 07:42 AM 