I don't study electrical engineering or something related but I was assigned a problem on transfer functions, impulse responses, and in general, everything related to this post. (Specifically, I'm analyzing an RC circuit)
I do know the details of the Laplace transform but I prefer the Fourier transform. I wanted to know if there is any problem in substituting the Laplace transform for the Fourier transform in the analysis of LTI systems, impulse responses and transfer functions.
The important thing these transforms share is a Convolution theorem, which is highly relevant to the analysis of the things I've already mentioned above.
What do you think? What am I sacrificing by substituting transforms? Why is the Laplace transform favored over the Fourier transform?