Mathematics 0580 · IGCSE · Functions

Functions — practice question

The functions are given by $f(x) = 2x - 3$ and $g(x) = x^2 + 1$.
(a(i))[2]

Find the value of $gg(2)$.

(a(ii))[2]

Find $g(x + 2)$, and give the answer in simplest form.

(a(iii))[2]

Find the value of $x$ when $f(x) = 7$.

(a(iv))[2]

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

(b(i))[2]

Calculate $h(0.3)$. Give your answer correct to 2 decimal places.

(b(ii))[1]

Find the value of $x$ when $h(x) = 256$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct composition is $26$

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