How to Compose Functions


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question 1 of 3

Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

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1. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

2. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

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About This Quiz & Worksheet

Composing functions can seem daunting at first. This quiz/worksheet will help you assess your understanding of how to do so and let you test your skills with practice problems.

Quiz & Worksheet Goals

In these assessments, you'll be tested on multiple problems involving:

  • Function composition
  • Function notation

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Problem solving - use acquired knowledge to solve practice problems involving the composition of functions
  • Making connections - use understanding of function composition as applied to multiple practice problems
  • Information recall - access the knowledge you've gained regarding the notation of functions

Additional Learning

To learn more about function composition, review the accompanying lesson How to Compose Functions. This lesson covers the following objectives:

  • Familiarize yourself with function notation
  • Understand what composing functions entails
  • Understand the composition of functions as seen in provided examples