Function Algebra, Composition of Functions

Composition of functions

In this module we will learn about compositions of two or more functions where the output value of one function becomes the input value for another function. The concepts are used in the study of inverse functions and other algebraic functions.

Learning Objectives:

  • Find the composition of two functions.
  • Evaluate a composition.
  • Perform function arithmetic with compostion including average rate of change and difference quotient
  • Determine the domain of composition of two functions.
  • Identify the functions whose composition in a specific order is a given function.