Mathematics 4024 · O Level · Functions

Functions — practice question

The functions provided are $f(x) = 4x + 1$ alongside $g(x) = 2x - 3$.

(a)[1]

Find the value of $f(-3)$.

(b)[2]

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

(c)[3]

Simplify $\frac{2}{f(x)} + \frac{1}{g(x)}$. Write your answer as a single fraction, in terms of $x$, and leave it in simplest form.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “So the answer is $-11$.” …