Composition of Functions

Dr. Fisher
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

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What is the formula for ?

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If you're still confused about the composition of functions, you might read the following article on Math is Fun.