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Homework Help: Find Imgage of f

  1. Oct 31, 2009 #1
    1. The problem statement, all variables and given/known data
    Consider III2, the additive group of integers modulo 12, and let f : II12 -->II12 be defined by f(x) = 3x. Find imf.

    2. Relevant equations
    II12 = {1,2,3,4,5,6,7,8,9,10,11,12}
    II12 / ker f is isomorphic to image of f

    3. The attempt at a solution
    I don't know were to begin.
    Last edited: Oct 31, 2009
  2. jcsd
  3. Nov 1, 2009 #2
    Why don't you just compute 3x for all x in III2 and see what you get?
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