The functions $f$ and $g$ are given by $f(x) = 4x - 2$, where $x \in \mathbb{R}$, and $g(x) = \frac{4}{x + 1}$, where $x \in \mathbb{R}$ and $x \ne -1$.
(a)[1]
Determine the value of $fg(7)$.
(b)[5]
Find the values of $x$ such that $f^{-1}(x) = g^{-1}(x)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Gives the correct value $0$.” …