Composite Functions
Examples, solutions, worksheets, and activities to help PreCalculus students learn about composite functions and their domains.
Composite functions and their domains
How to calculate the compositions of two functions, including f(g(x)), g(f(x)), f(f(x)), and g(g(x))?
Then describe the domain of each composite function.
Domain of a Composition of Functions
The procedure for finding the domain of a composition of functions.
1. Find the domain of the input/inside function.
2. Find the domain of the new function after performing the composition.
Composite Functions
Finding composite functions by plugging in another function.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Composite functions and their domains
How to calculate the compositions of two functions, including f(g(x)), g(f(x)), f(f(x)), and g(g(x))?
Then describe the domain of each composite function.
The procedure for finding the domain of a composition of functions.
1. Find the domain of the input/inside function.
2. Find the domain of the new function after performing the composition.
Finding composite functions by plugging in another function.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.