Finding the Inverse Laplace transform using the Step and Shift theorems

Question

I want to find the Inverse Laplace Transformation of the function given above. I used the step and shift theorems to come up with an answer. Can someone simply verify the answer. This is my first inverse problem using these two theorems.

Answer for Review

Answer 1

Looks great, just one slight issue (which maybe you just transposed).

You should have:

$$-\dfrac{7}{4}~~\mbox{instead of}~~ -\dfrac{4}{7}$$