I have the following information:

H(jw) = (3+jw)/(e^(2jw))
f(t) = e^(-3t)u(t)

Therefore,
F(w) = 1/(3+jw)
Y(w) = H(w)*F(w) = 1/(e^(2jw))

I have to find y(t), but I am having troubling finding.