4. Find a Möbius transformation which maps the region outside the unit circle onto the left-half plane. What are the images of circles |z| = r > 1? And the images of lines passingthrough the origin?

We have to find a Mo¨bius transformation which maps the region outside the unit circle onto the…

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Find a Möbius transformation which maps the region outside the unit circle onto the left- half plane. What are the images of cirdes |z| = r> 1? And the images of lines passing through the origin?