Pre-Calculus 12 Notes

By: Gen L.

In partnership with Hyperion University, 2024

Lesson 2: Composition of Functions

Composition of Functions

  • A Composite Function is a function formed from two functions in which the output of one function (Inner) is used as the input of the other (Outer)

Values of Functions

  • If , determine the value or expression for:

Composing Functions

If , determine each expression or value.

Domain of Composites

  • The domain of exists only for in the domain of .
  • Consider .
    • Determine .
    • State each of their domains.
Domain

Inner and Outer Functions

If is given below, determine and .

Finish