Composition of Functions

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Taught by mrbrianmclogan
  • Currently 4.0/5 Stars.
6526 views | 1 rating
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Lesson Summary:

In this lesson, you'll learn how to find the composition of two functions in three different ways. By plugging one function into the other and simplifying, you can find f of g of x, g of f of x, and f of f of x. This process is made easy with the example functions given, x squared and x minus 1. You'll learn how to evaluate the functions and simplify to find the composition of these functions.

Lesson Description:

How to find the composition of two functions

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Questions answered by this video:
  • What is the composition of functions?
  • How do you find the composition of two functions?
  • How do you find (f o g)(x), (g o f)(x), and (f o f)(x) for f(x) = x^2 and g(x) = x - 1?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson shows how to find the composition of two functions in either order and also the composition of a function with itself. All steps involved in finding the composition of these functions are shown and explained. This is a problem that is important to understand in order to firmly grasp the concept of functions, inputs, and outputs.