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Math Help - Factor this please quick!

  1. #1
    Junior Member
    Joined
    Apr 2008
    Posts
    26

    Factor this please quick!

    T(z) = \frac{z}{2-z}

    S^{-1}(z) = 4\frac{z-1}{z+4}

    Solve:

    L(z) = S^{-1}(T(z))


    Can someone show me the steps? I know to plug in for z but I can't seem to do it the right way...
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  2. #2
    Junior Member
    Joined
    Apr 2008
    Posts
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    For Linear Functional Transformations. Thanks Moo, you just put a negative for the 4 instead of a positive when factoring out tho. James has the correct answer..
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  3. #3
    Senior Member
    Joined
    Nov 2007
    Posts
    329
    Repost, sorry I thought mine was wrong and Moo wrote it more nicely by the way.
    L(z) = S^{-1}(T(z))=S^{-1}\left(\frac{z}{2-z}\right)=4\frac{\frac{z}{2-z}-1}{\frac{z}{2-z}+4}=-\frac{8 (-1+z)}{-8+3 z}
    z\ne 2\,\text{and}\, \frac 83
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