Additional Mathematics 0606 / Functions / 2.82.8: Rational composite and inverse0606/22/O/N/18 — Question 11 · 9 marksMark as done · Save for later · Show all solutionsThe functions fff and ggg are defined for real values of x⩾1x \geqslant 1x⩾1 by f(x)=4x−3f(x) = 4x - 3f(x)=4x−3 and g(x)=2x+13x−1g(x) = \dfrac{2x + 1}{3x - 1}g(x)=3x−12x+1.(i)Find gf(x)gf(x)gf(x).[2]▸ Answer(ii)Find g−1(x)g^{-1}(x)g−1(x).[3]▸ Answer(iii)Solve fg(x)=x−1fg(x) = x - 1fg(x)=x−1.[4]▸ Answer▸ Official mark scheme← 1.16: Trigonometric inverse and composite1.3: Identifying function properties from graphs →
