How do I describe the image of a function like.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Images of complex functions

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