In order to give you a batter idea of where my train of thought is, this is the answer I have got, through the method below;
so, from first principles, although, using rule:
The question also asks to "Indicate for what values of 's' is the transform valid?" I am not sure what this means, is it something involving the solution of the function?
Again, thanks a lot for any help or pointers or letting me know I am barking completely up the wrong tree!