a) Compute the Fourier transform for the following function. f(x) = 0, for 0 < x < 1/2 1, for 1/2 < x < 1 b) Compute the Fourier transform for the following function. g(x) = -1, for 0 < x < 1/2 1, for 1/2 < x < 1 c) Note that g(x) = 2f(x) - 1 and check that the result of b) can be obtained from the result of a) without explicit computation.