Thread: Domain

For each function describe the domain:

f(z)=Arg(1/z)

f(z)=1/(1-lzl^2)

Thanks

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Complex Function Grapher

Originally Posted by bethh

For each function describe the domain:

f(z)=Arg(1/z)

f(z)=1/(1-lzl^2)

Thanks

The domain will be the entirety of except the few points that cause a singularity (i.e. where the denominator will be 0).

For the first one, the domain excludes only .

For the second one the domain excludes all points of the form , in other words, the unit circle .