Verification of Laplace transform answer

[satchmo05]

Homework Statement

Find the Laplace transform of the time function using the integral definition:

g(t) = e^-a(t+T)*u(t+T)

Homework Equations

Laplace transform definition

The Attempt at a Solution

After working through it, I was curious to see if the answer I received is, in fact, correct so I know if I have the correct implementation. The answer I received was:

G(s) = e^-aT/(s+a)

Please let me know if this is correct. Thanks for all help in advance!

 

[n.karthick]

Your answer is right assuming T is positive