Mathematics 0580 · IGCSE · Functions

Functions — practice question

$f(x)=4x+1$, $g(x)=6-2x$, $h(x)=3^{x-2}$

(a(i))[1]

Find $f(3)$.

(a(ii))[1]

Find $gf(3)$.

(b)[2]

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

(c)[4]

Find $x$ when $f(x)=g(2x-7)$.

(d)[2]

Find the value of $h(h(2))$.

(e)[2]

Find $x$ when $h^{-1}(x)=10$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$13$” …