1 / 12

Compositions of Functions 8

Compositions of Functions 8. Goal!. Given 2 or more functions, combine them to find values of their compositions. Example 1. Find f(x-3) Answer: . Example 2. Find f(g(x )). Plug g(x) into f(x) for x. . Same equations…. Find f(g(3))

senwe
Télécharger la présentation

Compositions of Functions 8

An Image/Link below is provided (as is) to download presentation 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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Compositions of Functions8

  2. Goal! • Given 2 or more functions, combine them to find values of their compositions.

  3. Example 1 Find f(x-3) • Answer:

  4. Example 2 Find f(g(x)). Plug g(x) into f(x) for x.

  5. Same equations… Find f(g(3)) find the value inside of the parenthesis, then outside. So first g(3). Then plug that number into f(x). g(3)=8 f(g(3)=

  6. f(g(x)) • We say it “f of g of x”

  7. Except in some rare cases

  8. Example Find h(g(4)) First find g(4) Then plug that into h.

  9. You try! Find g(h(0)) Answer: 1

  10. You try again! • Find g(f(10)) • Answer: 11

  11. Example: remember FOIL? • Find f(g(x))

  12. Homework!

More Related