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Thread: Function in the Complex Plane

  1. #1
    Junior Member
    May 2009

    Function in the Complex Plane

    Hello, i have to find the following here:

    - Inverse of the Line
    - Function of the Line

    the blue line is my attempt of the inverse
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  2. #2
    MHF Contributor
    Opalg's Avatar
    Aug 2007
    Leeds, UK
    The inverse of a straight line will be a circle through the origin. It also has to pass through 1 (since that is its own inverse) and j (which is the inverse of j. So the centre of the circle will be at -\tfrac12-\tfrac12j and the radius will be 1/\sqrt2.
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