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Math Help - Functions qns!

  1. #1
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    Functions qns!

    G(x)=3/x,x>0

    Find g^35. How do i solve it? I know for example g^2 is x becus the working is 3/(3/x).
    But in this case the power is 35..
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  2. #2
    Newbie
    Joined
    Nov 2010
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    G(x)=3/x,x>0

    Find g^35. How do i solve it? I know for example g^2 is x becus the working is 3/(3/x).
    But in this case the power is 35..

    Just try a few times of g^2, g^3 and so on to check on the pattern
    g^1 = 3/x
    g^2 = 3/(3/x) = x
    g^3 = g(g^2) = 3/x
    g^4 = g(g^3) = 3/(3/x) = x

    So g^(positive even) = x, and g^(positive odd) = 3/x

    so g^35 = g^(positive odd) = 3/x
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