Additional Mathematics 0606 / Functions / 1.151.15: Exponential inverse equals derivative0606/13/M/J/20 — Question 1 · 7 marksMark as done · Save for later · Show all solutionsf(x)=3+exf(x) = 3 + \mathrm{e}^{x}f(x)=3+ex for x∈Rx \in \mathbb{R}x∈R and g(x)=9x−5g(x) = 9x - 5g(x)=9x−5 for x∈Rx \in \mathbb{R}x∈R.(a)Find the range of fff and of ggg.[2]▸ Answer(b)Find the exact solution of f−1(x)=g′(x)f^{-1}(x) = g'(x)f−1(x)=g′(x).[3]▸ Answer(c)Find the solution of g2(x)=112g^{2}(x) = 112g2(x)=112.[2]▸ Answer▸ Official mark scheme← 1.9: Quadratic mapping and logarithmic composite2.2: Logarithmic sketch and quadratic inverse →
