Composition of Functions
- Author:
- Dr. Fisher
- Topic:
- Functions
Let and .
The composite function uses the output of as input to . For example, if then the output of would be . We plug this output 16 into to get
The composite function is also sometimes written as . We say this out loud as "f of g of x."
Here's another example:
Let and .
Then, .
The formula for is .
Answer the multiple choice questions below to test your understanding of the composition of functions. Then move on to the next page of this GeoGebra book.
Let and . What is
What is the formula for ?
If you're still confused about the composition of functions, you might read the following article on Math is Fun.
https://www.mathsisfun.com/sets/functions-composition.html