i have to calculate the Fourier transform in the title. My professor says the result is $\frac{1}{5-2\pi i f}$. I start from $H(t)e^{\alpha t}$, and i calculate the transform $H(t)e^{5t}\rightarrow \frac{1}{2\pi i f - 5}$. Now i must pass to $H(-t)...$ and i decide to apply the rescaling property $u(t/\lambda)=\lambda u(\lambda f)$, with $\lambda=-1$, but i get $\frac{-1}{5-2 \pi i f}$, which is not correct... Where am I wrong?
2026-04-05 16:41:03.1775407263
Fourier transform of $H(-t)e^{5t}$
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