True or False\text{True or False}

=== If f(x)f(x) and g(x)g(x) are two increasing functions on the interval (−∞,∞)(-\infty, \infty), then (f⋅g)(x)(f\cdot{g})(x) is increasing on the interval (−∞,∞)(-\infty, \infty).

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