I need some help with the following question.
If f has a Fourier transform F(k), what is the Fourier transform of cos(x)f(2x+1).
I have made pretty much no progress on this. This seems straightforward if I were to be asked for the Fourier transform of cos(x)f(x), but I don't know in what way the "2x+1" will change the integral. Any help would be appreciated.