The following activity sheets will give your students practice in working with composite (compound) functions.

#### What Are Components of a Math Function? The main components that are also known as elements of math are addition, subtraction, multiplication, and division. A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input. We will see many ways to think about functions, but there are always three main parts: The input - What comes into the value., The relationship - How the other two parts distinctly interact with one another, The output - The result or solution to the overall system. Some Examples of Functions: x2 (squaring) is a function. x3 + 1 is also a function. sine, cosine, and Tangent are functions used in trigonometry, and there are lots more! A function is a binary relation over two sets that acquaintances to every element of the first set, precisely one aspect of the second set. The symbol that is used for representing the contribution is the variable of the function, and one frequently says that f is a function of the variable x.

When we are trying to compute discounts and sale prices we are using composition of functions. Let's take the example of buying a discounted pair of pants. If the pants are forty-dollars and it is on sale for fifteen percent off, and the sales tax in your area is seven percent you can create composition of functions to solve for this. The amount of tax will be dependent of the calculation of the sale price, not the original cost. That is an example of key function. These worksheets explain how to find the composition of functions and you will also learn how to solve composite (also known as compound) functions.

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## Composition of Functions Lesson

This worksheet explains how to find the composition of functions. We get our first taste of substituting the expression for function. A sample problem is solved, and two practice problems are provided.

## Composition of Functions Worksheet

Students will find the composition of functions. We look at the different forms of notation and what they mean. Ten problems are provided.

## Practice Worksheet

Students will use the information provided to find the composition of functions. Ten problems are provided.

## Review and Practice

This worksheet explains how to find the composition of functions. A sample problem is solved, and six practice problems are provided.

## Composition of Functions Quiz

Students will demonstrate their proficiency finding the composition of functions. Ten problems are provided.

## My Skills Check Worksheet

Students will find the composition of functions. Three problems are provided, and space is included for students to copy the correct answer when given.