2.1: Rational inverse and composite

Find an expression for $f^{-1}(x)$.

State the domain of $f^{-1}(x)$.

Find an expression for $f^{2}(x)$, giving your answer in the form $\dfrac{ax + b}{cx + d}$, where $a$, $b$, $c$ and $d$ are integers to be found.