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# Combinations of Functions

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Author: Eric Bran
##### Description:
• Combine functions by adding, subtracting, multiplying, and dividing.
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Tutorial

## The Algebra of Functions

We can combine functions using addition, subtraction, multiplication, and division. Here are examples of what that may look like.

Let

The sum f + g looks like :

The difference f - g looks like:

The product fg looks like:

The quotient f/g looks like:

The domain for each of these functions consists of all real numbers that are the common domains of f and g.  The only exception is the quotient of two functions, you must remember that the denominator cannot be zero!

Source: Blitzer - PreCalculus 4e

## Finding the sum of two functions.

An example on how to find the difference of two functions.

## Finding the difference of two functions.

An example on how to find the difference of two functions.

EDIT: I made a mistake when writing the answer, can you spot it?

## Finding the product of two functions.

An example on how to find the product of two functions.

## Finding the quotient of two functions

An example on how to find the quotient of two functions.