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.
Finding composite functions by plugging in another function.
Try the free Mathway calculator and
problem solver below to practice various 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.