Additional Mathematics 0606 · Question 1Paper 1 · Non-calculator[5 marks]The function hhh is defined by h(x)=12e3x−4h(x) = \dfrac{1}{2}e^{3x} - 4h(x)=21e3x−4 for x∈Rx \in \mathbb{R}x∈R. Find h−1(x)h^{-1}(x)h−1(x) and state its domain. [5]