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Math Help - Domain of definition

  1. #1
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    Domain of definition

    The question

    Describe the domain of definition that is understood:



    My attempt:
    I noticed that and that in polar form. So,



    Thus the denominator becomes 0 if , so there is no domain at these points. Is this correct? Any assistance would be truly appreciated!
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  2. #2
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    |z|^2 is a real number, so 1/(1 - |z|^2) is also a real number. For what values will this real number be defined?
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  3. #3
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    When (1 - |z|^2) != 0

    Or, x^2 + y^2 != 1
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  4. #4
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    Correct.

    So the domain is all z such that |z| =/= 1.
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