Mathematics 0580 · IGCSE · Functions

Functions — practice question

The functions are $f(x) = kx^2$, $g(x) = \frac{1}{x}$, $h(x) = \frac{7x - 2}{5}$ and $j(x) = \frac{3 - 10x}{14}$.
(a)[2]

From $f(-5k) = 675$, determine the value of $k$.

(b)[1]

Determine $gh(x)$.

(c)[4]

Find $h^{-1}(x) + j(x)$. Present your answer in its simplest form.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct answer is $3$.

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