Mathematics 9709 · AS & A Level · Functions

Functions — practice question

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

Find a formula for $f^{-1}(x)$.

(b)[2]

Show that $\frac{2}{3} + \frac{2}{3(3x - 1)}$ can be written as $\frac{2x}{3x - 1}$.

(c)[1]

State the set of values taken by $f$.

Worked solution & mark scheme

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