Question
Show that the function f : R → {3} → R - {2} given by $\text{f(x)}=\frac{\text{x}-2}{\text{x}-3}$ is a bijection.
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$\begin{bmatrix}\text{x}+10&\text{y}^2+2\text{y}\\0&-4\end{bmatrix}=\begin{bmatrix}3\text{x}+4&3\\0&\text{y}^2-5\text{y}\end{bmatrix}$
$\text{f(x)}=\sin^{-1}\sqrt{\text{x}^2-1}$