You need to figure out where this is a 2 to 1 mapping and where it's a 1 to 1 mapping.
You can use calc1 with the transformation from one density to the other,
but you need to draw the parabola
and figure out the various regions.
supose that the random variable X is uniformly distributed between x=-4 and x=2 Y=9-X^2
whats the Y probability distribution?
My main problem here are the bounds how do I set the bounds? I think I have two values for the distribution between y=5 and y=9, since I have to split it in two problems, one in which dy/dx is positive and other where it is negative, and whad do I do with the point where dy/dx =0?!