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

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 other when …

Through a worked example involving f (x)=√ (x²-1) and g (x)=x/ (1+x), learn about function composition: the process of combining two functions to create a new function. This involves replacing the input of …

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

Learn about function composition and how to combine functions effectively with Khan Academy's interactive lessons and examples.

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 step at a time.

Learn why we'd want to compose two functions together by looking at a farming example.

Now let's explore the world of composite functions, honing our skills at recognizing them in various forms. This understanding is crucial to get the most out of the Chain Rule.

Given the formulas of two functions, find the formula of their composition.

Given a function, determine whether it's a composite function. If so, determine the "inner" and "outer" functions.