Download presentation

Presentation is loading. Please wait.

Published byAden Milnor Modified over 2 years ago

1

2
By: Dr. Julia Arnold

3
Composition is a binary operation like addition, subtraction, multiplication and division are binary operations. (meaning they operate on two elements) f+g f-g fgfg The composition symbol is: Thus

4

5
The easiest way to describe composition is to say it is like substitution. In fact Read f of g of x which means substitute g(x) for x in the f(x) expression.

6
For example: Suppose f(x)= 2x + 3, and g(x) = 8 - x Then Means substitute the g function for x in the f function… like this f(x)= 2x + 3 f(g(x) )= 2 g(x) + 3

7
f(x)= 2x + 3, and g(x) = 8 - x f(x)= 2x + 3 f(g(x) )= 2 g(x) + 3 Now substitute what g equals for g(x) f(8 - x)= 2 (8 - x) + 3 = x + 3 = x So, = x

8
An interesting fact is that most of the time. Let’s see if this is the case for the previous example.

9
f(x) = 2x + 3, andg(x) = 8 - x Thus we will substitute f into g. g(x) = 8 - x g(f(x) ) = 8 - f(x) Now substitute what f(x) is: g(2x + 3) = 8 - (2x + 3) = 8 - 2x - 3 = 5 - 2x

10

11
Let and

12
Write the f function Substitute g(x) for x Replace g(x) with Simplify Step 1 Step 2 Step 3 Step 4

13
Find: When ready click your mouse. The answer is: A) B) Move your mouse over the correct answer.

14
Find: When ready click your mouse. The answer is: B) A) Move your mouse over the correct answer.

15
Find: When ready click your mouse. The answer is: B) A) Move your mouse over the correct answer.

16
A) Ans. A for the previous example Was actually

17
Do the practice problems following This module in your module section Of Blackboard. Check your work using This live math page.live math

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google