1. The problem statement, all variables and given/known data With The map f(z) = -(1-z)/(1+z) where z=x+iy, and f(z) maps z onto w = u + iv plane. show for which points of the z plane this map is conformal. 2. Relevant equations 3. The attempt at a solution I have read a lot about this subject, and I think I understand the theory, but I have no idea how to start. I can get f(z) into w = u + iv form. I just don't understand how to find these points. Any hints would be appreciated. I want to know how to do this and am not asking for a solution, just a push in the right direction.