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Imagine f(X) is some function (transform) of X, and g(X) is another function (transform) such that...

Imagine f(X) is some function (transform) of X, and g(X) is another function (transform) such that X = g(f(X)) (i.e., g(X) reverses or undoes what f(X) did to X). (For example, suppose f(X) is to double each number, then g(X) would be to divide the result by 2.) What kind of mean is this? Would this be the root mean square?

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