Which of the following statements is FALSE? f(z)=z + 1/z+1

Last updated: 7/11/2022

Which of the following statements is FALSE? f(z)=z + 1/z+1 is a fractional linear transformation f(z) = z² is a conformal map from the right half-plane {z : Re(z)>0} onto its image If f is a fractional linear transformation with f(x) = ∞, then f must be affine The image of a circle in the plane under a conformal map is not necessarily a circle