Compounding Functions and Graphing Functions of Functions


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question 1 of 3

What is g(f(4)) if g(x) = x+1 and f(x) = √(x)?

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If f(x) = x^2 and g(x) = x + 1, what is f(g(x))?

Hint: For every x in f(x) put in g(x)

2. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

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About This Quiz & Worksheet

This quiz and worksheet can help check your understanding of mathematical principles associated with functions. The topics that these assessments focus on include the domain of a function and composite functions.

Quiz & Worksheet Goals

These assessments will help you review:

  • How to determine the range of a function
  • Composite functions
  • How to find the domain of a function

Skills Practiced

  • Knowledge application-use your knowledge to answer a question on finding the range of a function
  • Information recall - access the knowledge you've gained regarding composite functions
  • Problem solving-use acquired knowledge to solve practice problems that ask you to find the domain of a function

Additional Learning

Use the lesson titled Compounding Functions and Graphing Functions of Functions to gain more of an understanding on this topic. Goals this lesson can be used to accomplish include:

  • Describe compounding functions
  • Define range
  • Find the domain of a function
  • Identify composite functions in equations