Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    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:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook