Mathematics 0580 · IGCSE · Functions

Functions — practice question

$f(x)=\frac{1}{x},\; x\ne0 \qquad g(x)=3x-5 \qquad h(x)=2^x$

(a(i))[2]

Find the value of $gf(2)$.

(a(ii))[2]

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

(b)[2]

Find $g(x-2)$ in simplest form.

(c(i))[2]

Find the value of $x$ when $fg(x)=0.1$.

(c(ii))[2]

Find the value of $x$ such that $h(x)-g(7)=0$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Replaces $x$ with $\frac{1}{2}$” …