Hi everyone - I'm sure there's somebody here who can help with such a trivial question.(adsbygoogle = window.adsbygoogle || []).push({});

It's not a homework question before that's assumed - it's from a past exam paper, which I'm using for revision, sans answers.

It asks to describe, in the complex plane, the image of:

[tex] |z - 1| \leq 1 [/tex]

under the transformation

[tex] w = \frac{1}{z} [/tex]

Now, I found the answer to be:

[tex] Re(w) \leq \frac{1}{2} [/tex]

Is this correct?

Thanks for any help,

Simon.

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# Complex mapping

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