Saturday, September 22, 2012 at 11:43am.
give an example of two increasing functions whose product is not increasing
f(x)=i x, g(x)=i(x^2) where i is the sqrt(-1) for x>0
without delving into complex numbers, maybe something like
f(x) = e^2x
g(x) = -e^-x
(fg)(x) = -e^x, which is decreasing
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