Additional Mathematics 0606 / Functions / 2.122.12: Logarithmic and exponential composites0606/23/O/N/16 — Question 10 · 9 marksMark as done · Save for later · Show all solutionsThe functions fff and ggg are defined for x>1x > 1x>1 by f(x)=2+lnxf(x) = 2 + \ln xf(x)=2+lnx and g(x)=2ex+3g(x) = 2\mathrm{e}^{x} + 3g(x)=2ex+3.(i)Find fg(x)fg(x)fg(x).[1]▸ Answer(ii)Find ff(x)ff(x)ff(x).[1]▸ Answer(iii)Find g−1(x)g^{-1}(x)g−1(x).[2]▸ Answer(iv)Solve the equation f(x)=4f(x) = 4f(x)=4.[1]▸ Answer(v)Solve the equation gf(x)=20gf(x) = 20gf(x)=20.[4]▸ Answer▸ Official mark scheme← 2.10: Surd inverse and composite equations1.1: Range, inverse and composite with square root →
