0606 P23 - Jun 2018 - Q5 - 6 marks
8472
The function \(\mathrm f\) is defined by
\(\mathrm f(x)=\frac1{2x-5},\qquad x\gt2.5.\)
(i) Find an expression for \(\mathrm f^{-1}(x)\).
(ii) State the domain of \(\mathrm f^{-1}(x)\).
(iii) Find an expression for \(\mathrm f^2(x)\), giving your answer in the form \(\dfrac{ax+b}{cx+d}\), where \(a\), \(b\), \(c\) and \(d\) are integers to be found.
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