Question

The rational function \(c(x) := \frac{x+1}{x-1}\) is called Cayley transformation

c) Calculate the inverse function \(c^{-1}:V\rightarrow U\)

Answer 1

Let \(v\in V, u\in U, c(u)=v\)
\[v=\frac{u+1}{u-1}\].
Solve for u in terms of v, then replace v with x.

Answer 2

is it end solution blockcolder or you want to expand it ?