The range of the real valued function $f(x) = \sqrt{\frac{x^2+2x+8}{x^2+2x+4}}$ is

  • A
    $\left[\sqrt{\frac{7}{3}}, \infty\right)$
  • B
    $(0, \infty)$
  • C
    $(1, \infty)$
  • D
    $\left(1, \sqrt{\frac{7}{3}}\right]$

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