Is there a built-in function `f` such that `f[
TransformedDistribution[
100 x + y,
{x \[Distributed] BetaDistribution[12 g, h],
y \[Distributed] UniformDistribution[{j - 1, 3 k}]}]]`
will return the list of parameters `{{g, h}, {j, k}}` for an arbitrary number of random variables?