Mathematics 0580 · IGCSE · Functions

Functions — practice question

$f(x) = 7x - 8$, $g(x) = \frac{4}{x} + 5$, with $h(x) = 2^x + 1$.
(a)[2]

Calculate $f^{-1}(x)$.

(b)[2]

Calculate the value of $x$ when $h(x) = g\left(\frac{1}{3}\right)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$x=7y-8$ or $y+8=7x$ or $\frac{y}{7}=x-\frac{8}{7}$” …

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