If $f:[2, \infty) \rightarrow R$ is defined by $f(x)=x^2-4x+5$,then the range of $f$ is

  • A
    $R$
  • B
    $[1, \infty)$
  • C
    $[4, \infty)$
  • D
    $[5, \infty)$

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