The most commonly used function notation symbols include: “f (x) = …”, “g (x) = …”, “h (x) = …,” etc. In this article, we will learn what composite functions are and how to solve them.

To find a composite function made of three functions, substitute the rightmost function into the middle function and then substitute this into the leftmost function.

Function Composition is applying one function to the results of another: The result of f () is sent through g ().

Nov 13, 2025 · Here's a breakdown of the diagram: X: The initial input value. g (x): The first function g is applied to the input X, producing the output g (x). This illustrates the composition (f ∘ g) (x) = f (g (x)), …

Learn the concept of function composition with eight illustrative examples. Understand how to create a "new" function from two given functions.

Free composite functions GCSE maths revision guide, including step by step examples, exam questions and free worksheet.

The composition of functions is combining two or more functions as a single function. In a composite function, the output of one function becomes the input of the other. Let us see how to solve …

This lesson explains the concept of composite functions. An example is given demonstrating how to work algebraically with composite functions and another example involves an application that uses …

The composite of two functions f (x) and g (x) must abide by the domain restrictions of f (x) and g (x). In this example, both functions had domains of all real numbers, so their composite functions did not …

Here, we will look at 10 examples of compound functions. In addition, you will also be able to test your skills with 5 practice problems. The following examples of composite functions have a detailed …