Mathematics 0580 · IGCSE · Functions

Functions — practice question

The functions are $f(x) = 1 - 2x$, $g(x) = x + 4$, and $h(x) = x^2 + 1$.
(a)[1]

Determine $f(-1)$.

(b)[2]

Find the solution to $2f(x) = g(x)$.

(c)[2]

Work out $fg(x)$. Write your answer in its simplest form.

(d)[2]

Determine $hh(2)$.

(e)[2]

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

(f)[4]

Determine the value of $p$ and the value of $q$.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: The value is $3$.

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