10 - What are Composite Functions? (Part 1) - Evaluating Composition of Functions & Examples

In this lesson, you will learn what a composite function is in math. We will discuss the definition of a composite function being two functions chained or nested inside of one another. We must then evaluate the composite function by evaluating each individual function in sequence, one after the other. In general, the order of evaluating the functions affects the answer so that gof g(f(x)) and fog (f(g(x)) yield different answers. The major exception to this is in the case that f(x) and g(x) are inverse functions of one another. In that case the composite functions give the same answer no matter the order that f(x) and g(x) are evaluated.

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