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Math Help - complex plane

  1. #1
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    complex plane

    Find the image of this region
    {z : 1<=|z|<=2 and 0<= arg z <= pi/4}
    under w(z)=1+1/z
    z is complex number

    Can anybody help me with this question please?

    Thanks
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  2. #2
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    Quote Originally Posted by sidi View Post
    Find the image of this region
    {z : 1<=|z|<=2 and 0<= arg z <= pi/4}
    under w(z)=1+1/z
    z is complex number
    Here are some facts.
    w(z) = 1 + \frac{{\overline z }}<br />
{{\left| z \right|^2 }}\;\& \,\arg \left( {\overline z } \right) =  - \arg (z)
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