precalculus
posted by fatima on .
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