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Which of the following statements is FALSE?f(z)=z + 1/z+1 is a fractional linear transformationf(z) =...

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

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