Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The function $f$ is given by $f: x \mapsto x^2 + 1$ for $x \geq 0$.

(i)[3]

Write down the inverse function $f^{-1}$ in the same manner.

(ii)[3]

Solve the equation $f(f(x)) = \frac{185}{16}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Inverse relation $x=\pm\sqrt{y-1}$” …