(a)[1]
State the possible values of $f$.
(b)[1]
State the exact value for $f\left(\frac{2}{3}\pi\right)$.
(c)[2]
Sketch the curve $y = f(x)$.
(d)[3]
Obtain an expression for $f^{-1}(x)$ in terms of $x$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The function $f$ is specified by $f : x \mapsto 3 - 2\tan\left(\frac{1}{2}x\right)$ for $0 \leq x < \pi$.