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# ZingPath: Composition and Inverses

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## Composition and Inverses

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### Lesson Focus

#### Fundamental Concepts on the Composition of Functions

Algebra-1

You will determine if the composition of two functions exists, and use multiple representations to evaluate the composition of two functions.

### Now You Know

After completing this tutorial, you will be able to complete the following:

• Define the composition of functions.
• Evaluate the composition of two functions, which can be described in a table, with an equation, or in a Venn diagram.
• Explain the commutative and the identity properties of the composition of functions.

### Tutorial Details

 Approximate Time 30 Minutes Pre-requisite Concepts Learners should be able to define types of functions including the identity function and the identity element of an operation; understand the concept of domain, function and range; understand the commutative rule of operations; represent functions using function notation, Venn diagrams and a table. Course Algebra-1 Type of Tutorial Concept Development Key Vocabulary composition function, functions, identity element