Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The function $f$ is given by $f(x) = \frac{x + 3}{x - 1}$ whenever $x > 1$.
(a)[2]

Find the result of $f\!f(5)$.

(b)[3]

Find a formula 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: “Use the function twice, for example $f(5)=f(f(5))$.” …

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