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Images of complex functions

  1. Sep 7, 2008 #1
    How do I describe the image of a function like.
    f(z) = (z-i)/(z+i) given that the length of z is equal to one. The domain is the unit circle.

    Is the best way just let z=x+yi and then see what comes out? Or is there a simpler way of doing it.
     
  2. jcsd
  3. Sep 8, 2008 #2

    tiny-tim

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    Hi naggy! :smile:

    Hint: always get rid of the complex bit from the bottom if you can …

    so multiply top and bottom by (z + i)bar :wink:
     
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