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Let f(x) and g(x) be two continous funct...

Let f(x) and g(x) be two continous functions defined from `Rrarr R`, such that `f(x_(1)) gt f(x_(2))` and `g(x_(1)) lt g(x_(2)) AA x_(1) gt x_(2)`, then find the solution set of `f(g(alpha^(2) - 2 alpha) gt f(g(3 alpha - 4)`.

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The correct Answer is:
`(alpha - 1)(alpha - 4) lt 0`
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