A single x (n) has the following Fourier transform: X () = 1/1 ae j.

A single x (n) has the following Fourier transform:
X (ω) = 1/1 – ae – jω.
Determine the Fourier transforms of the following signals:
(a) x (2n + 1)
(b) eπn/2 x (i + 2)
(c) x(-2n)
(d) x (n) cos (0.3πn)
(e) x (n) * x (n – 1)
(f) x(n) * x (-n)