Additional Mathematics 0606 / Functions / 2.142.14: Logarithmic and exponential composite equations0606/23/O/N/19 — Question 10 · 11 marksMark as done · Save for later · Show all solutionsThe functions fff and ggg are defined by f(x)=ln(3x+2)f(x) = \ln(3x + 2)f(x)=ln(3x+2) for x>−23x > -\tfrac{2}{3}x>−32 and g(x)=e2x−4g(x) = \mathrm{e}^{2x} - 4g(x)=e2x−4 for x∈Rx \in \mathbb{R}x∈R.(i)Solve gf(x)=5gf(x) = 5gf(x)=5.[5]▸ Answer(ii)Find f−1(x)f^{-1}(x)f−1(x).[2]▸ Answer(iii)Solve f−1(x)=g(x)f^{-1}(x) = g(x)f−1(x)=g(x).[4]▸ Answer▸ Official mark scheme← 1.11: Identifying composites and rational function1.14: Exponential inverse and sketch of quadratic →
