Additional Mathematics 0606 / Functions / 3.123.12: Trigonometric–exponential composite and inverse equation0606/23/O/N/23 — Question 1 · 6 marksMark as done · Save for later · Show all solutionsThe functions fff and ggg are defined as follows, for all real values of xxx.f(x)=2sin x+3cos xf(x) = 2\mathrm{sin}\,x + 3\mathrm{cos}\,xf(x)=2sinx+3cosxg(x)=e3x−1g(x) = \mathrm{e}^{3x} - 1g(x)=e3x−1(a)Find fg(0)fg(0)fg(0).[2]▸ Answer(b)Find gg(x)gg(x)gg(x).[1]▸ Answer(c)Solve the equation g−1(x)=13ln5g^{-1}(x) = \dfrac{1}{3}\ln 5g−1(x)=31ln5.[3]▸ Answer▸ Official mark scheme← 3.11: Quadratic and exponential: composite and inverses3.7: Logarithmic function sketch and composite equation →
