Question

# For a problem where X has a pdf of 2/9(x+1) if -1<x<2 I for the pdf for Y=X^{2}. The next question

is asking me to show that a transformation theorem remains valid if sets A_{1}, A_{2}... A_{k} contain X and use this to apply the extension to solve the pdf transformation I did before. A_{0}=0, A_{1} = (-2,0), and A_{2} = (0,2). How do I apply this extension, do I just use a pdf of 0 for -2 to -1?

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