Let $[\mathrm{x}]$ represent the greatest integer less than or equal to $\mathrm{x},\{\mathrm{x}\}=\mathrm{x}-[\mathrm{x}]$, $\sqrt{2}=1.414$ and $\sqrt{3}=1.732$. If $f(x)=\left\{x+\left[\frac{x}{1+x^2}\right]\right\}$ is a real valued function, then $\mathrm{f}(\sqrt{2})+\mathrm{f}(-\sqrt{3})=$

• Correct answer
  A

  $0.682$
• B

  $0.318$
• C

  $0.146$
• D

  $1.146$

Hence, the correct answer is option: 'A'.