A Decreasing Function?

Calculus Level 3

True or False:

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