Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The functions $f$ and $g$ are given by $f: x \mapsto 3x + 2,\ x \in \mathbb{R}$ and $g: x \mapsto 4x - 12,\ x \in \mathbb{R}$.
(main)[4]

Solve for $x$ in $f^{-1}(x) = gf(x)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly states $f:x\mapsto 3x+2$ and $g:x\mapsto 4x-12$” …

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