10.4.29 Laplace Transform

Condition: Find (continuous on \ ([0;+\ infty)) \) the function of theorine, if its image \ (f (p) \) is equal to: 1) \ (f (p) = \ frac {e^{-2 p}}} {p+1} \), 2) \ (f (p) = \ left (e^{-2-2 p} +3 e^{-p} \ right) \ frac {1} {p} \)