The block diagram of a system is illustrated in the figure shown, where X(s) is the input Y(s) is the output. The transfer function $$H\left( s \right) = \frac{{Y\left( s \right)}}{{X\left( s \right)}}$$   is

A. $$H\left( s \right) = \frac{{{s^2} + 1}}{{2{s^2} + 1}}$$

B. $$H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + 2{s^2} + s + 1}}$$

C. $$H\left( s \right) = \frac{{s + 1}}{{{s^2} + s + 1}}$$

D. $$H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + {s^2} + s + 1}}$$

Answer: Option B