Let X T Be A Signal That Has A Rational Laplace Transform With Exactly Two Poles

Let x(t) be a signal that has a rational Laplace transform with exactly two poles, located at s = -1 and s = -3. If g(t) = e2t x(t) and G (jw) [ the Fourier transform of g(t)] converges, determine whether x(t) is left sided, right sided, or two sided?

 

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