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Fundamental Concepts on the Composition of Functions

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Composition and Inverses

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Lesson Focus

Fundamental Concepts on the Composition of Functions


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

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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.

Everything You'll Have Covered

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