Let f(x) and g(x) be two continuous func...

Let f(x) and g(x) be two continuous functions defined from `R rarr 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 in (1, 4)`

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