Mathematics 0580 · IGCSE · Functions

Functions — practice question

The functions are defined as $f(x) = 5x - 3$, $x > 1$, and $g(x) = \frac{10}{x - 2}$, $x \ne 2$.

(a)[2]

Find $gf(x)$. Give your answer in its simplest form.

(b)[3]

Find $g^{-1}(x)$.

(c)[1]

Find $ff^{-1}(x - 1)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The answer is $\dfrac{2}{x-1}$.” …