The domain of $f(x)=\sqrt{\left(\frac{1}{\sqrt{x}}-\sqrt{x+1}\right)}$ is

• A

  $x>-1$
• B

  $(-1, \infty)$ K $\{0\}$
• Correct answer
  C

  $\left(0, \frac{\sqrt{5}-1}{2}\right]$
• D

  $\left[\frac{1-\sqrt{5}}{2}, 0\right)$

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