3.57: Exponential function and inverse sketch

The function $\mathrm{f}$ is defined by $\mathrm{f}(x) = 2 + 3\mathrm{e}^{-x}$ for $x \in \mathbb{R}$.

On the axes, sketch the graph of $y = \mathrm{f}(x)$ and hence, on the same axes, sketch the graph of $y = \mathrm{f}^{-1}(x)$. Show clearly the positions of any points where your graphs meet the coordinate axes and the positions of any asymptotes.