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give an example of two increasing functions whose product is not increasing

  • precalculus -

    f(x)=i x, g(x)=i(x^2) where i is the sqrt(-1) for x>0

  • precalculus -

    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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