General Formula for Density of Y = g(X) when gis not 11 f Y(y) = X xg(x)=y g0(x)6=0 f X(x) 1 jg0(x)j Here we do not replace xin f X(x) and g0(x) by x= g 1(y) because gdoes not necessarily have an inverse There may be several values xthat map into the same y That is the reason for the notation used The above formula for f Y(y) can easily beG(4)(x) = −3e−x − (e−x − xe−x) ∴ gStack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange The Greek Alphabet "¯ V[g "Y bNXȵ