Show that the Fourier transform of the transform, F{(x)}, equals 2(-x), and that this is not the

Show that the Fourier transform of the transform, F{ƒ(x)}, equals 2πƒ(-x), and that this is not the inverse transform of the transform, which equals ƒ(x). This problem was suggested by Mr. D. Chapman while a student at the University of Ottawa.