Consider the bilinear transformation \( T(z) = \frac{(az+b)}{(cz+d)}\) in the complex plane, where ad - bc ≠ 0 for z ≠ -d/c. then the expression for \(T^{-1}(w)\) (the inverse transformation) is
1
\(w = - \frac{(dz + b)}{ (az - c)}\)
2
\(w = - \frac{(dz + b)}{ (cz - a)}\)
3
\(w =\frac{ (dz - b)} { (a - cz)}\)
4
\(w =\frac{ (dz - b) }{ (cz - a)}\)