How to Evaluate Composite Functions


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question 1 of 3

If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).

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1. If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).

2. If f(x) = x/2 and g(x) = x + 5, evaluate g(f(6)).

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About This Quiz & Worksheet

This quiz/worksheet combo can help you check your knowledge of composite functions, and tools used to evaluate them.

Quiz & Worksheet Goals

Use this quiz and corresponding worksheet to review:

  • Definition of composite function
  • Evaluating composite functions
  • How to write composite functions

Skills Practiced

This quiz and worksheet combo can help you practice the following skills:

  • Problem solving - use acquired knowledge to answer composite function practice problems
  • Information recall - access the knowledge you have acquired regarding how composite functions are evaluated
  • Knowledge application - use your knowledge to answer questions about how to write composite functions

Additional Learning

To learn more about composite functions, check out the corresponding lesson How to Evaluate Composite Functions. This lesson will help you:

  • Define composite function
  • Determine how composite functions are written
  • Evaluate composite functions
  • Work with multiple functions