Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The function $f$ is defined by $f(x) = 4x^2 - 24x + 11$, where $x \in \mathbb{R}$.
(a(i))[4]

Express $f(x)$ in the form $a(x - b)^2 + c$, and hence state the coordinates of the vertex on the graph of $y = f(x)$.

(a(ii))[2]

State the range for $g$.

(a(iii))[4]

Find a formula for $g^{-1}(x)$ and state the domain of $g^{-1}$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Complete the square to give $4(x-3)^2-25$

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