0606 P23 - Nov 2017 - Q6 - 9 marks
8677
The functions \(f\) and \(g\) are defined by
\(f(x)=(x+2)^2+1,\)
\(g(x)=\dfrac{x-2}{2x-1}\), where \(x\ne\dfrac12\).
(i) Find \(f^2(-3)\).
(ii) Show that \(g^{-1}(x)=g(x)\).
(iii) Solve \(gf(x)=\dfrac8{19}\).
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