Let $f(x)=(x+1)^2-1, x \geqslant-1$,then the set $\{x : f(x)=f^{-1}(x)\}$ is

  • A
    $\{0, 1, -1\}$
  • B
    $\{0, -1\}$
  • C
    $\{0, -1, \frac{-3+i \sqrt{3}}{2}, \frac{-3-i \sqrt{3}}{2}\}$
  • D
    $\phi$

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