Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The functions $f$ and $g$ are given for $x \in \mathbb{R}$ by $f : x \mapsto 2x + 3$ and $g : x \mapsto x^2 - 2x$.
(main)[5]

Write $gf(x)$ in the form $a(x + b)^2 + c$, where $a$, $b$ and $c$ are constants.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Compose the functions accurately: $gf(x)=g(f(x))$.

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