The inverse Fourier transform of a function given \(G\left( \omega \right) = \frac{{{\omega ^2} + 21}}{{{\omega ^2} + 9}}\) is

1
δ(t) + 2 exp (-3|t|)
2
cos 3 ωt + 21 exp (-3t)
3
sin 3 ωt + 7 cos ωt
4
sin 3 ωt + 21 exp (3t)

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