Let \( f(x) \) and \( g(x) \) be two continuous functions defined from \( R \rightarrow R \), su...

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Let \( f(x) \) and \( g(x) \) be two continuous functions defined from \( R \rightarrow R \), such that \( f\left(x_{1}\right)f\left(x_{2}\right) \) and \( g\left(x_{1}\right)g\left(x_{2}\right), \forall x_{1}x_{2} \), then the least integral value of \( \alpha \) for which \( f\left(g\left(\alpha^{2}-2 \alpha\right)\right)f(g(3 \alpha-4)) \) is ......... .
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