Let C be the circle with center -3i and radius 2. The Mobius Transformation R given by the equation R(z)=bz+d maps C to the Unit Circle in such a way that the inside of C maps to the outside of the unit circle. Find |R(1−2i)|.
R(1 - 2i) = 1 + 2i, so |R(1 - 2i)| = sqrt(5).
sqrt2
+158 
