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Math Help - I need help with functions

  1. #1
    Newbie
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    Jun 2008
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    I need help with functions

    f={(1,2),(2,3),(3,4),(4,1)}
    g={(1,3),(2,1),(3,4),(4,2),(5,1)}
    find g o f, is g one to one explain
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  2. #2
    Senior Member nikhil's Avatar
    Joined
    Jun 2008
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    gof is given by
    (1,1),(2,4),(3,2),(4,3) as
    f(1)=2 and g(2)=1 therfor gof(1)=g(f(1))=g(2)=1so we obtained (1,1).
    Remember domain of gof is domain of f so we will apply the above given procedure for domain of f only.
    Since every element of domain is associated to a unique element so gof is one to one function.
    But for g we have (2,1) and (5,1) both domain elements are associated to same element so g not one to one
    Last edited by nikhil; June 27th 2008 at 08:25 AM. Reason: Some more addition
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