The Fourier transform of a signal $$x(t) = e^{-4\mid t \mid}$$

A

$$\frac{8}{16 + \omega^{2}}$$

B

$$\frac{-8}{16 - \omega^{2}}$$

C

$$\frac{4}{16 + \omega^{2}}$$

D

$$\frac{-4}{16 + \omega^{2}}$$