# Inverse Fourier Transform for $e^{-a/f}$ and $e^{-a/\sqrt{f}}$

How do we solve for the inverse Fourier Transform for the following two functions?

$$X(f) = e^{-a/f}$$

$$X(f) = e^{-a/\sqrt{f}}$$

• uhm, you got problems as $f \to 0$. May 12 '20 at 3:18
• @robertbristow-johnson Yes we need to omit $f=0$....that said.... May 12 '20 at 3:44
• (The FT of x= 1 also goes to infinity, yet that doesn't stop us) May 12 '20 at 3:47