Mathematics 4024 · O Level · Functions

Functions — practice question

$f(x) = 1 + \frac{3x}{2}$, while $g(x) = \frac{2}{1-x}$.

(a)[3]

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

(b)[3]

Solve the equation $g(x) = f(-4)$ for $x$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Algebraic rearrangement to $\frac{2(x-1)}{3}$” …