Inverse Laplace Transform of $$$\frac{s - 2}{s \left(s - 4\right)}$$$

The calculator will try to find the Inverse Laplace transform of the function $$$F{\left(s \right)} = \frac{s - 2}{s \left(s - 4\right)}$$$.

Find $$$\mathcal{L}^{-1}_{s}\left(\frac{s - 2}{s \left(s - 4\right)}\right)$$$.

The Inverse Laplace transform of $$$\frac{s - 2}{s \left(s - 4\right)}$$$A is $$$\frac{e^{4 t}}{2} + \frac{1}{2}$$$A.