The chain rule tells us how to find the derivative of a composite function. This is an exceptionally useful rule, as it opens up a whole world of functions (and equations!) we can now differentiate.

A lot of times, when you first start looking at these function composition, it seems really convoluted and confusing, but you just have to, I want you to take a breath and take it one …

Walk through examples, explanations, and practice problems to learn how to find and evaluate composite functions.

We just found what is called a composite function. Instead of substituting acres planted into the corn function, and then substituting the amount of corn produced into the money function, we …

Walk through examples, explanations, and practice problems to learn how to find and evaluate composite functions.

This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - …

We can compose functions by making the output of one function the input of another one. This simple-yet-rich idea opens up a world of fascinating applications. Inverse functions undo each …

This unit explores how functions interact through composition and inversion. You'll learn how to find and represent inverse functions, restrict domains to ensure functionality, and use …

It explains how to evaluate the composition of functions step by step, using examples with three different function definitions: f (x), g (t), and h (x). Created by Sal Khan.

For example, in physics, we might use a composite function to model the motion of a falling object. In economics, we might use an inverse function to model the relationship between …