If $f$ and $g$ are differentiable functions satisfying $g^{\prime}(a)=2$,$g(a)=b$,and $f \circ g = I$,where $I$ is an identity function,then $f^{\prime}(b)$ is equal to

  • A
    $\frac{1}{2}$
  • B
    $\frac{3}{2}$
  • C
    $\frac{2}{3}$
  • D
    $2$

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