(a(i))[1]
State the numerical value of $f(-1)$.
(a(ii))[2]
The diagram displays the graph of $y = f(x)$. On this diagram, sketch $y = f^{-1}(x)$. Include any mirror line that is needed.
(a(iii))[4]
Find an expression for $f^{-1}(x)$, and state the domain of $f^{-1}$.
(b)[3]
The function $g$ is defined by $g(x) = 3x + 2$ for $x \in \mathbb{R}$. Solve the equation $f(x) = g f\left(\frac{1}{4}\right)$.