Mathematics 9709 · AS & A Level · Functions

Functions — practice question

For $x \in \mathbb{R}$, the function $f$ is defined by $f: x \mapsto a - 2x$, where $a$ is a constant.
(a)[4]

Write $ff(x)$ and $f^{-1}(x)$ in terms of $a$ and $x$.

(b)[2]

Since $ff(x) = f^{-1}(x)$, determine $x$ in terms of $a$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use function composition to obtain $f(f(x))=a-2(a-2x)$

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