Answer
True
Work Step by Step
The first shifting Theorem can be expressed as:
When $L[f]=F(s)$, then we have: $L[e^{at}f(t)]=F(s-a)$
Now, $L^{-1} [F(s)]=L^{-1} [\dfrac{s}{s^{2}+9}=\cos (3t)$
Then we have: $L^{-1}[\dfrac{s+4}{(s+4)^2 +9}]=e^{-4t} \cos (3t)$
Therefore, the given statement is $\bf{True}$.
