The Inverse Laplace Transform Of $F ( s ) = e ^ { - s } / ( s ( s + 1 ) )$

The inverse Laplace transform of $F ( s ) = e ^ { - s } / ( s ( s + 1 ) )$ is

A) $\left( 1 - e ^ { t } \right) u ( t - 1 )$
B) $\left( 1 + e ^ { 1 - t } \right) u ( t - 1 )$
C) $\left( 1 - e ^ { 1 - t } \right) u ( t - 1 )$
D) $\left( 1 - e ^ { t - 1 } \right) u ( t - 1 )$
E) $\left( 1 + e ^ { t - 1 } \right) u ( t - 1 )$

Correct Answer:

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