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Math Help - Operations on Functions Help

  1. #1
    Newbie
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    Sep 2009
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    Operations on Functions Help

    I having major problems with these. Could someone please show me how to do them step by step.

    For each ordered pairs, find f o g and g o f if they exist. (f of g and g of f )

    5. F= {(0,0),(4,-2)}
    G= {(0,4),(-2,0),(5,0)}

    6. F = {(0,-3); (1,2), (2,2)}
    G= {(-3,1), (2,0)}

    7. F = {(-4,3), (-1,1), (2,2)}
    G = {(1,-4),(2,-1),(3,-1)}

    8. F = {(6,6),(-3,-3),(1,3)}
    G = {(-3,6),(3,6),(6,-3)}
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  2. #2
    MHF Contributor
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    Mar 2007
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    1,240

    Talking

    To find (f o g)(x) = f(g(x)), pick an x-value from g, find the corresponding y-value for g, plug this in as an x-value for f, and find the corresponding y-value for f. The first x-value and the second y-value correspond to a point for (f o g)(x).
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