Solution
= Solution
Direct substitution in the <Möbius transformation> gives
$$
w(0)=\frac{-i}{i}=\boxed{-1},\qquad
w(1)=\frac{1-i}{1+i}=\frac{(1-i)^2}{2}=\boxed{-i}.
$$
Neither substitution meets the excluded denominator point $z=-i$.
= Solution
Direct substitution in the <Möbius transformation> gives
$$
w(0)=\frac{-i}{i}=\boxed{-1},\qquad
w(1)=\frac{1-i}{1+i}=\frac{(1-i)^2}{2}=\boxed{-i}.
$$
Neither substitution meets the excluded denominator point $z=-i$.