Time-shifting property - Laplace transform of f(t) = $e^tH(t-3)$ where H is the heaviside function.

Question

What is the Laplace transform of f(t) = $e^tH(t-3)$

If someone could talk me through this, that would be much appreciated!

Like I tried it but I kept getting F(s) = $e^{-3s}\frac{1}{s-1}$ which is incorrect :(

Thanks a million!

Answer 1

Write $f(t) = e^3 e^{t-3} H(t-3)$ and look up the tables...