9709 P11 - Nov 2022 - Q8
739
The function \(f\) is defined by \(f(x) = 2 - \frac{3}{4x - p}\) for \(x > \frac{p}{4}\), where \(p\) is a constant.
(b) Express \(f^{-1}(x)\) in the form \(\frac{p}{a} - \frac{b}{cx - d}\), where \(a, b, c\) and \(d\) are integers.
(c) Hence state the value of \(p\) for which \(f^{-1}(x) \equiv f(x)\).
