The expression "f(x) * g(x)" represents the multiplication of two functions, f and g, evaluated at the same input x. This means that for any given value of x, you first find the output of f at that value, then find the output of g at the same value, and finally multiply these two results together. This operation is commonly used in mathematics, particularly in calculus and algebra, to analyze how two functions interact. The resulting function, often denoted as h(x) = f(x) * g(x), can provide insights into the behavior of the combined functions, such as their growth rates and intersections.