A Decreasing Function?

Calculus Level 3

True or False?

Consider the function f(x)=1x f(x) = \frac{1}{x} . Since f(x)=1x2<0f'(x) = -\frac{1}{x^{2}} < 0, f(x)f(x) is a decreasing function in its domain (,0)(0,)(-\infty, 0) \cup (0, \infty).

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