(a)[1]
State the range for $f$.
(b)[4]
Obtain an expression for $f^{-1}(x)$, then state the domain of $f^{-1}$.
(c)[3]
The function $g$ is defined by $g(x) = x + 3$ for $x > 0$. Obtain an expression for $fg(x)$, and give your answer in the form $\frac{ax + b}{cx + d}$, where $a$, $b$, $c$ and $d$ are integers.