Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The diagram displays the graph of $y = f(x)$.
(a)[1]

Using this diagram, sketch $y = f^{-1}(x)$.

(b)[4]

Now suppose that $f(x) = -\frac{x}{\sqrt{4 - x^2}}$ for $-2 \le x \,\le 2$. Determine an expression for $f^{-1}(x)$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate sketch with reflection in the line $y=x$

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