Mathematics 4024 · O Level · Functions

Functions — practice question

$f(x) = 5x - 7$, $g(x) = \frac{x + 4}{3}$.
(a)[1]

Find the value of $f(6)$.

(b)[2]

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

(c)[3]

Given the relation $f(p) = g(p) - 2$, find $p$.

(d)[3]

$g(5x - 7) = ax + b$. Find $a$ and $b$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $23$.

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