Composition of Functions
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.
How to find the composition of two functions
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- 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?
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Staff Review
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.
