Lesson 1.5 Combination of Functions

1 / 7

# Lesson 1.5 Combination of Functions - PowerPoint PPT Presentation

Lesson 1.5 Combination of Functions. Arithmetic Combinations. 2 Options: Combine the functions (using “x”) with the given operation Plug in a given value into each function, then perform the given operation. You will be asked to find the Domain and Range of the combined functions. Example

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Lesson 1.5 Combination of Functions' - dalton-calhoun

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Lesson 1.5Combination of Functions

Arithmetic Combinations

2 Options:

Combine the functions (using “x”) with the given operation

Plug in a given value into each function, then perform the given operation

You will be asked to find the Domain and Range of the combined functions

Example

If f(x) = 2x and g(x) = x + 1, find the following:

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

(f – g)(x) = f(x) – g(x) =

(fg)(x) = f(x) • g(x) =

Composition of Functions

Plug the inside function into the outside

Notation: (f ο g)(x) = f(g(x))

Again, if given an x value you can work with all numbers.

Example

If f(x) = x + 2and g(x) = 4 – x2, find the following:

(f οg)(x) =

(g οf)(x) =

Find both composites when x = 0, 1, 2