Additional Mathematics 0606 / Functions / 1.61.6: Trigonometric range and composite quadratic0606/11/O/N/18 — Question 11 · 9 marksMark as done · Save for later · Show all solutions(a)(i)f(x)=3−cos2xf(x) = 3 - \cos 2xf(x)=3−cos2x for 0⩽x⩽π20 \leqslant x \leqslant \dfrac{\pi}{2}0⩽x⩽2π.Write down the range of fff.[2]▸ Answer(a)(ii)Find the exact value of f−1(2.5)f^{-1}(2.5)f−1(2.5).[3]▸ Answer(b)g(x)=3−x2g(x) = 3 - x^{2}g(x)=3−x2 for x∈Rx \in \mathbb{R}x∈R.Find the exact solutions of g2(x)=−6g^{2}(x) = -6g2(x)=−6.[4]▸ Answer▸ Official mark scheme← 2.7: Linear-quadratic composite and surd inverse1.16: Trigonometric inverse and composite →
