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  3. describe the image of the circle |z ? 3| = 1 under

Describe the image of the circle |z ? 3| = 1 under the M¨obius transformation w...

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Advance Math

Describe the image of the circle |z ? 3| = 1 under the M¨obiustransformation w = f(z) = (z ? i)/(z ? 4). Be sure to explain whyyour description is correct.

could someone please help me on this problem?

Answer & Explanation Solved by verified expert
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First lets write Now consider the mappingsIt is easy to see that Let us call the circle centered at with radius Note that is not in the    See Answer
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