If $$A = 1 + 2^p$$ and $$B = 1 + 2^{-p}$$,then what is the value of $$B$$?

A

$$\frac{(A + 1)}{(A - 1)}$$

B

$$\frac{(A + 2)}{(A + 1)}$$

C

$$\frac{A}{(A - 1)}$$

D

$$\frac{(A - 2)}{(A + 1)}$$