3.75: Exponential function range and inverse

A function $\mathrm{f}$ is such that $\mathrm{f}(x)=4-3\mathrm{e}^{x}$ for $x\in\mathbb{R}$. Find the range of $\mathrm{f}$.

Find an expression for $\mathrm{f}^{-1}(x)$.

On the axes, sketch the graphs of $y=\mathrm{f}(x)$ and $y=\mathrm{f}^{-1}(x)$, stating the exact values of the intercepts with the coordinate axes.