The function f(x) = \fracg(x)h(x) represents a ratio of two other functions, g(x) and h(x) . Here, g(x) is the numerator, which can be any function that produces a value based on the input x . The denominator, h(x) , must not equal zero, as division by zero is undefined. This type of function is common in mathematics and can model various real-world situations, such as rates or proportions. Understanding how to manipulate and analyze such functions is essential in fields like calculus, physics, and economics.