\(f(x)=5+\sin\frac{x}{4} \quad\text{for}\quad 0\leq x\leq2\pi\text{ radians}\)

\(g(x)=x-\frac{\pi}{3} \quad\text{for}\quad x\in\mathbb R\)

(i) Write down the range of \(f(x)\).

(ii) Find \(f^{-1}(x)\) and write down its range.

(iii) Solve \(2fg(x)=11\).