0606 P23 - Nov 2019 - Q10 - 11 marks
8385
The functions \(f\) and \(g\) are defined by
\(f(x)=\ln(3x+2),\quad x\gt-\frac23,\)
and
\(g(x)=e^{2x}-4,\quad x\in\mathbb{R}.\)
(i) Solve \(gf(x)=5\).
(ii) Find \(f^{-1}(x)\).
(iii) Solve \(f^{-1}(x)=g(x)\).
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