1 / 8

Composition of Functions

Composition of Functions. Definition of Composition of Functions. The composition of the functions f and g are given by (f o g)(x) = f(g(x)). (f o g)(x) is read as. f composed of g. Steps in computing (f o g)(x).

nancy
Télécharger la présentation

Composition of Functions

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. Composition of Functions

  2. Definition of Composition of Functions The composition of the functions f and g are given by (f o g)(x) = f(g(x))

  3. (f o g)(x) is read as f composed of g

  4. Steps in computing (f o g)(x) 1. Begin with the f function.2. Plug the g formula in for x.3. Complete the f formula.4. Reduce the equation.

  5. Supposef (x) = x2 + 3g(x) = 4x

  6. (f o g) (x) = f(g(x))Plug the g formula in for x in the f formula f(4x) = (4x)2 + 3 = 16x2 + 3

  7. (g o f) (x) = g(f(x))Plug the f formula in for x in the g formula g(x2 +3) = 4(x2 + 3) = 4x2 + 12

  8. Recall f(x) = x2 + 3 and g(x) = 4x (g o f)(0) = g(f(0)) = g(3) = 12 0 f(x) = x2 + 3 3 g(x) = 4x 12

More Related