(i)[3]
Write $4x^2 + 12x + 10$ in the form $(ax + b)^2 + c$, with $a$, $b$ and $c$ as constants.
(ii)[1]
Both functions $f$ and $g$ are defined for $x > 0$. You are told that $f(x) = x^2 + 1$ and $fg(x) = 4x^2 + 12x + 10$. Determine $g(x)$.
(iii)[4]
Find $(fg)^{-1}(x)$ and state the domain of $(fg)^{-1}$.