Download presentation

Presentation is loading. Please wait.

Published byJayde Kendle Modified over 3 years ago

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

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 = 16 - 2x + 3 = 19 - 2x So, = 19 - 2x

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

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

Similar presentations

OK

Composite functions When two or more functions are combined, so that the output from the first function becomes the input to the second function, the result.

Composite functions When two or more functions are combined, so that the output from the first function becomes the input to the second function, the result.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on sea level rise florida Free download ppt on human evolution Ppt on any topic of maths for class 9 Ppt on bluetooth based smart sensor networks definition Ppt on cross docking operations Ppt on file system management Ppt on happy diwali Ppt on two point perspective buildings Ppt on c language fundamentals emc Ppt on chapter 3 atoms and molecules 5th