Elementary Differential Equations problem Using a Table of L

Elementary Differential Equations problem: Using a Table of Laplace Transforms, compute the inverse transform f of the given Laplace tranform F:

F(s) = ((1 - 2s)(e^(-s)) / (s^2) {to make sure I typed it right, this is: (1 minus 2s) times (e to the negative s), all over s squared}

Answer: f(t) = (t - 3) H (t - 1)

Solution

the answer will be u_c(t-1)g_c(t-1)