1. The problem statement, all variables and given/known data .......find the inverse transform of the given function. F(s)= (2s+2)/(s2+4s+5) 2. Relevant equations On another page, I see these 2: f(t)=eatsin(bt)--------->F(s)=b/[(s-a)2+b2) f(t)=eatcos(bt)--------->F(s)=(s-a)/[(s-a)2+b2) 3. The attempt at a solution This is my first time doing anything with Laplace transforms. I can change the denominator to (s+2)2 + 1 and factor a -2 out of the numerator. Then it looks like the relevant equations. -2((s-1/2)/((s+2)2+1)) But I don't understand where to go from here. The -2, of course, is just a constant that can chill out front. Judging from the answer in the back of the book, I use a combination of both relevant equations. Explain the algebra involved here.