Additional Mathematics 0606 / Functions / 2.132.13: Quadratic composite and self-inverse rational0606/23/O/N/17 — Question 6 · 9 marksMark as done · Save for later · Show all solutionsThe functions fff and ggg are defined for real values of xxx by f(x)=(x+2)2+1f(x) = (x + 2)^{2} + 1f(x)=(x+2)2+1 and g(x)=x−22x−1g(x) = \dfrac{x - 2}{2x - 1}g(x)=2x−1x−2, x≠12x \neq \tfrac{1}{2}x=21.(i)Find f2(−3)f^{2}(-3)f2(−3).[2]▸ Answer(ii)Show that g−1(x)=g(x)g^{-1}(x) = g(x)g−1(x)=g(x).[3]▸ Answer(iii)Solve gf(x)=819gf(x) = \dfrac{8}{19}gf(x)=198.[4]▸ Answer▸ Official mark scheme← 1.10: Logarithmic and quadratic composites1.2: Exponential inverse and logarithmic composite →
