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Suppose that X has a probability density function f(x) = x −2 , x > 1...

Suppose that X has a probability density function f(x) = x −2 , x > 1 0, x ≤ 1 Find a function g(x) such that Y = g(X) is uniformly distributed on [0, 1].

i have seen other posts proving how g(x) = 1/x is the answer, can you tell me how to get g(x) = 1/x in the first place?

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