Suppose that [math]Y = g(X)[/math] has a cumulative distribution function

[[math]]F(e^{e^{x}})[[/math]]

with [math]F(x)[/math] the distribution function of [math]X[/math]. Which of the following functions equal [math]g[/math]?

1. [math]\ln(\ln(x))[/math]
2. [math]\ln(x)[/math]
3. [math]x-e[/math]
4. [math](x-e)^2[/math]
5. Impossible to tell