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0606 P11 - Nov 2018 - Q11 - 9 marks
8490

(a) \(f(x)=3-\cos2x\), for \(0\leq x\leq\dfrac{\pi}{2}\).

(i) Write down the range of \(f\).

(ii) Find the exact value of \(f^{-1}(2.5)\).

(b) \(g(x)=3-x^2\), for \(x\in\mathbb R\). Find the exact solutions of \(g^2(x)=-6\).

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