What is the sum of \[(x+1)\] and the reciprocal of \[(x-1)\]?

• A.  \[\frac{{{x}^{2}}-2}{x-1}\]     
• B.  \[\frac{{{x}^{2}}}{x-1}\]
• C.  \[\frac{{{x}^{2}}}{x-1}\]
• D. \[\frac{2x}{x-1}\]