Let \( g(x) \) is the only invertible function from \( R \rightarro...

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Let \( g(x) \) is the only invertible function from \( R \rightarrow R \) which satisfy the equation \( g^{3}(x) \)
P \( -\left(x^{3}+2\right) g^{2}(x)+\left(2 x^{3}+1\right) g(x)-x^{3}=0 \). Find the value of \( g^{\prime}(8) \cdot(g-1)^{\prime}(8) \).

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