Mathematics 9709 · AS & A Level · Functions

Functions — practice question

For $x \geq -3$, the function $f$ satisfies $f(x) = \sqrt{\left(\frac{x+3}{2}\right)} + 1$.
(i)[3]

Find $f^{-1}(x)$, written in the form $ax^2 + bx + c$, where $a$, $b$ and $c$ are constants.

(ii)[1]

Find the domain of $f^{-1}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Swaps $x$ and $y$ in $f(x)=\sqrt{\frac{x+3}{2}}+1$ or makes $x$ the subject” …

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