The time signal x(t) corresponding to X(s) = s + 3 will

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The time signal x(t) corresponding to
X(s) = s + 3 will be
s² + s + 2

1. (2e^{– 2t}+ e^{– t})u(t)
2. (2e^{– t} – e^{– 2t})u(t)
3. (2e^{– 2t} – e^{– t})u(t)
4. (2e^{– t} + e^{– 2t})u(t)

Correct Option: B

X(s) =	s + 3	=	A	+	A
	(s² + 3s + 2)		s + 1		s + 2

A =	s + 3			= 2, B	s + 3			= - 1
	s + 2		_s=-1		s + 1		_s=-2

x(t) = [2e^{– t} – e^{– 2t}] u(t)