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0606 P22 - Nov 2018 - Q11 - 9 marks
8535

The functions \(f\) and \(g\) are defined for real values of \(x\gt 1\) by

\(f(x)=4x-3, \qquad g(x)=\frac{2x+1}{3x-1}.\)

(i) Find \(gf(x)\).

(ii) Find \(g^{-1}(x)\).

(iii) Solve \(fg(x)=x-1\).

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