$(5)$ Using a Python code to determine the continuous Fourier transform of the following functions by the DFT$.$

$($a$)g(x)=$exp$(-|x{|}^{0\mathrm{.}5})-$exp$(-2),$ for $-4$g$($x$)=0$ otherwise, $\backslash$Delta $\_($x$)=0\mathrm{.}05.$

$($b$)$ g$($x$)=$sin$(\backslash$pi $($x$^(2))/(9))$ for $0$

Please give me the plot of the real part and the imagine part