Additional Mathematics 0606 / Functions / 1.21.2: Exponential inverse and logarithmic composite0606/11/M/J/17 — Question 4 · 8 marksMark as done · Save for later · Show all solutions(a)(i)It is given that f(x)=3e−4x+5f(x) = 3\mathrm{e}^{-4x} + 5f(x)=3e−4x+5 for x∈Rx \in \mathbb{R}x∈R.State the range of fff.[1]▸ Answer(a)(ii)Find f−1f^{-1}f−1 and state its domain.[4]▸ Answer(b)It is given that g(x)=x2+5g(x) = x^{2} + 5g(x)=x2+5 and h(x)=lnxh(x) = \ln xh(x)=lnx for x>0x > 0x>0.Solve hg(x)=2hg(x) = 2hg(x)=2.[3]▸ Answer▸ Official mark scheme← 2.13: Quadratic composite and self-inverse rational2.4: Completed square and inverse sketch →
