If the function \( f(x)=-4 e^{\frac{1-x}{2}}+1+x+\frac{x^{2}}{2}+\f...

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If the function \( f(x)=-4 e^{\frac{1-x}{2}}+1+x+\frac{x^{2}}{2}+\frac{x^{3}}{3} \) and
\( \mathrm{P} \) \( g(x)=f^{-1}(x) \), then the reciprocal of \( g^{\prime}\left(\frac{-7}{6}\right) \) is

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