Let $f : (4, 6) \to (6, 8)$ be a function defined by $f(x) = x + [\frac{x}{2}]$ (where $[.]$ denotes the greatest integer function),then $f^{-1}(x)$ is equal to

  • A
    $x - [\frac{x}{2}]$
  • B
    $-x - 2$
  • C
    $x - 2$
  • D
    $\frac{1}{x + [\frac{x}{2}]}$

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