What are composite functions?

You must have more then one function to compose a composite function. Given two functions f(x) and g(x) you can create a composite function as follows

Example:

To determine the domain of the composite function it would be the set of all real numbers in the domain of g such that g(x) is the domain of f(x).

One last thing to make notice of would be the parenthesis, in the example above g(x) would be solved first and the result would feed into f(x) and that will return our output.