Related Topics:

More Lessons for Algebra, Math Worksheets

In this lesson, we will look at how functions can be added, subtracted, multiplied or divided. You may also want to look at the lesson on composite functions.

### Videos

Functions: Adding and Subtracting
Functions: Multiplying and Dividing

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Algebra, Math Worksheets

In this lesson, we will look at how functions can be added, subtracted, multiplied or divided. You may also want to look at the lesson on composite functions.

Functions can be added.

**Example **

Add the functions f(*x*) = *x* + 2 and g(*x*) = 5*x* – 6

**Solution:**

(f + g)(*x*)

= f(*x*) + g(*x*)

= (*x* + 2) + (5*x* – 6)

= 6*x* – 4

Functions can be subtracted

**Example:**

Given f(*x*) = *x* + 2 and g(*x*) = 5*x* – 6, find (f – g)(*x*)

**Solution:**

(f – g)(*x*)

= f(*x*) – g(*x*)

= (*x* + 2) – (5*x* – 6)

= –4*x* + 8

Functions can be multiplied.

**Example:**

Add the functions f(*x*) = *x* + 2 and g(*x*) = 5*x* – 6

**Solution:**

(f • g)(*x*)

= f(*x*) • g(*x*)

= (*x* + 2)(5*x* – 6)

= 5*x*^{2} + 4*x* – 12

Functions can be divided.

**Example:**

Given f(*x*) = *x* + 2 and g(*x*) = 5*x* – 6, find

**Solution:**

for g(*x*) ≠ 0

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.