If \(x\left( t \right)\overset{LT}{\longleftrightarrow }X\left( s \right)\& {\rm{ }}x\left( t \right) = {e^{ - 2t}}u\left( t \right) - {e^{ - 5t}}u\left( { - t} \right)\),

then X(s) is

1
\(\frac{{2s + 7}}{{\left( {s + 2} \right)\left( {s + 5} \right)}}\)
2
\(\frac{{2s - 7}}{{\left( {s - 2} \right)\left( {s - 5} \right)}}\)
3
\(\frac{3}{{\left( {s + 2} \right)\left( {s + 5} \right)}}\)
4
Does not exist

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