0606 P13 - Jun 2020 - Q1 - 7 marks
8118
\(f(x)=3+e^x\quad\text{for }x\in\mathbb R\)
\(g(x)=9x-5\quad\text{for }x\in\mathbb R\)
(a) Find the range of \(f\) and of \(g\).
(b) Find the exact solution of \(f^{-1}(x)=g'(x)\).
(c) Find the solution of \(g^2(x)=112\).
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