# Inverse Fourier of $\frac{2+jΩ}{1+jΩ}$ [closed]

What is the inverse fourier transformation of: $\frac{2+jΩ}{1+jΩ}$ ?

Taking Partial fraction and writing $$1+\frac{1}{1+jΩ}$$

Now taking Inverse Fourier Transformation

$$F^{-1}(1+\frac{1}{1+jΩ})$$ $$=F^{-1}(1)+F^{-1}(\frac{1}{1+jΩ})$$

$$=\delta(t) + e^{-t}H(t)$$

$H(t)%$=Unit Step Function

$\delta(t)$ = Dirac delta function

Link for the help of inverse of 2nd part.