The reciprocal of $$x + \frac{1}{x}$$  is?

A. $$\frac{x}{{{x^2} + 1}}$$

B. $$\frac{x}{{x + 1}}$$

C. $$x - \frac{1}{x}$$

D. $$\frac{1}{x} + x$$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Reciprocal of }}\left( {x + \frac{1}{x}} \right){\text{ }} \cr & = \frac{1}{{\left( {x + \frac{1}{x}} \right)}} \cr & = \frac{x}{{{x^2} + 1}} \cr} $$