Additional Mathematics 0606 / Functions / 1.161.16: Trigonometric inverse and composite0606/13/O/N/18 — Question 8 · 9 marksMark as done · Save for later · Show all solutionsf(x)=5+sinx4f(x) = 5 + \sin \dfrac{x}{4}f(x)=5+sin4x for 0⩽x⩽2π0 \leqslant x \leqslant 2\pi0⩽x⩽2π radians and g(x)=x−π3g(x) = x - \dfrac{\pi}{3}g(x)=x−3π for x∈Rx \in \mathbb{R}x∈R.(i)Write down the range of f(x)f(x)f(x).[2]▸ Answer(ii)Find f−1(x)f^{-1}(x)f−1(x) and write down its range.[3]▸ Answer(iii)Solve 2fg(x)=112fg(x) = 112fg(x)=11.[4]▸ Answer▸ Official mark scheme← 1.6: Trigonometric range and composite quadratic2.8: Rational composite and inverse →
