Let \( f \) and \( g \) be two differentiable function such that \(...

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Let \( f \) and \( g \) be two differentiable function such that
\( \mathrm{P} \)
\[
\begin{array}{l}
f(x)=g^{\prime}(1) \sin x+\left(g^{\prime \prime}(2)-1\right) x \\
g(x)=x^{2}-f^{\prime}\left(\frac{\pi}{2}\right) x+f^{\prime \prime}\left(\frac{-\pi}{2}\right)
\end{array}
\]
W
Find the number of solutions(s) of the equation \( f(x)=g(x) \).
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