Additional Mathematics 0606 / Functions / 2.102.10: Surd inverse and composite equations0606/23/M/J/17 — Question 9 · 9 marksMark as done · Save for later · Show all solutionsThe functions fff and ggg are defined, for x>1x > 1x>1, by f(x)=9x−1f(x) = 9\sqrt{x - 1}f(x)=9x−1 and g(x)=x2+2g(x) = x^{2} + 2g(x)=x2+2.(i)Find an expression for f−1(x)f^{-1}(x)f−1(x), stating its domain.[3]▸ Answer(ii)Find the exact value of fg(7)fg(7)fg(7).[2]▸ Answer(iii)Solve gf(x)=5x2+83x−95gf(x) = 5x^{2} + 83x - 95gf(x)=5x2+83x−95.[4]▸ Answer▸ Official mark scheme← 2.9: Identifying functions and inverses from graphs2.12: Logarithmic and exponential composites →
