The number of inverse lapalace transform of a function is equal to ________(a) the number of poles(b) the number of poles+1(c) the number of poles-1(d) cannot be determinedThe question was posed to me in an online interview.My query is from Laplace Transform in chapter Control System Applications of MATLAB

The number of inverse lapalace transform of a function is equal to ___

1.	The number of inverse lapalace transform of a function is equal to ________(a) the number of poles(b) the number of poles+1(c) the number of poles-1(d) cannot be determinedThe question was posed to me in an online interview.My query is from Laplace Transform in chapter Control System Applications of MATLAB
Answer» Right option is (b) the number of poles+1 For explanation: It is SEEN that the number of possible inverse laplace transform of any function is equal to the number of poles it has +1. Considering a function F(s)=A/s+1 + B/s+3=F1(s)+F2(s), the inverse laplace transform would exist if the inverse laplace transform is absolutely converging in a region. There are 3 REGIONS that can have an absolutely converging state for F1(s) and F2(s) simultaneously and HENCE, only option the number of poles+1 is correct.

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