Mathematics 0580 · IGCSE · Functions

Functions — practice question

$f(x) = 2x - 5$ together with $g(x) = x^2 - 2x$.

(a(i))[1]

Find the value of $f(7)$.

(a(ii))[1]

Find the value of $gf(7)$.

(a(iii))[2]

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

(b)[4]

Find $gf(x) - 3g(x)$. Present your answer in the form $ax^2 + bx + c$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$9$” …