Composition of Functions: Definition & Examples


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question 1 of 3

If f(x) = 2x - 5 and g(x) = 4x, calculate f(g(3)).

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1. If f(x) = 2x - 5 and g(x) = 4x, calculate g(f(6)).

2. If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?

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About This Quiz & Worksheet

This quiz/worksheet combination will help you test your understanding of composition of functions. Practice questions will test your ability to calculate a complex mathematical equation using composition of function rules.

Quiz & Worksheet Goals

Practice your ability to evaluate composition of functions through practice questions that help you understand how to:

  • Order the steps in solving a composition of function equation
  • Identify the innermost function or term
  • Use the innermost function to complete equations

Skills Practiced

This assessment helps you practice the following skills:

  • Making connections - use understanding of the concept innermost term
  • Problem solving - use acquired knowledge to solve mathematical problems
  • Knowledge application - use your knowledge to answer questions about using composition of functions

Additional Learning

The lesson called Composition of Functions: Definition & Examples will help you learn more through its detailed coverage of functions of equation. The sections in this lesson focus on:

  • The definition of composition of functions
  • What a function is
  • Examples to gain practice solving these functions