Composite Functions

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Examples, solutions, worksheets, and activities to help PreCalculus students learn about composite functions and their domains.

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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.

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