👉 In mathematics, a function is dominated by another function if there exists a number α such that f(x) ≤ α for all x in the domain of f. This concept is crucial in several areas of analysis, including optimization and control theory. The term "dominated" refers to a situation where one function dominates another, meaning that the second function can be made as close to zero as desired by changing its input without affecting its output. In other words, if we change the value of one variable
