What is meant by the composite of two functions, f(g(x))?

The composite of two functions, denoted as f(g(x)), refers to a process where the output of the function g(x) is used as the input for the function f. This means that you first take the value from g(x), and then you substitute that value into the function f. This operation essentially creates a new function that incorporates both f and g into a single expression.

For example, if g(x) produces a numerical result, that result will then be directly fed into f, thus allowing the composite function to generate a new output based on this sequential input process. Understanding function composition is crucial in mathematics as it helps students grasp how functions can interact with each other, forming complex relationships and behaviors based on their individual rules and inputs.

The concept of a composite function contrasts with the other choices, which refer to operations involving addition, multiplication, or subtraction of functions, none of which involve substituting one function's output into another function as required by composition.