1 / 8

Functions Operations & Composition: Advanced Math Topics

Learn how to add, subtract, multiply, divide, and compose functions to solve complex math problems. Examples included for better understanding.

jimenez
Download Presentation

Functions Operations & Composition: Advanced Math Topics

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. Lesson 2-8: Operations of Functions Advanced Math Topics

  2. Operations with functions • (f + g)(x)= f(x) + g(x) Add the functions • (f – g )(x) = f(x) – g(x) Subtract the functions (be sure to subtract all parts of the second function and not just the first part) • (f · g)(x) = f(x) · g(x) Multiply the functions (foil/distribute) • (f/g)(x) = f(x) / g(x), g(x) cannot = 0 Divide the functions (factor if possible and simplify)

  3. Examples • f(x)= x2 – 3x + 1 and g(x) = 4x + 5 find • (f + g) (x) and (f – g)(x)

  4. Example • f(x) = x2 + 5x – 1 and g(x) = 3x – 2 find • (f · g)(x) and (f/g)(x)

  5. Composition of Functions • [f o g](x) = f[g(x)] • Plug in the entire second function for every x then simplify

  6. Example • Find [f o g](x) and [g o f](x) for f(x) = x+3 and g(x) = x2 + x – 1 • Evaluate [f o g](x) and [g o f](x) for x = 2

  7. Find the sum, difference, product and quotient of f(x) and g(x) f(x) = x2 + 3 g(x) = x - 4

  8. If f(x) = 3x, g(x) = x + 7 amd h(x) = x2 find the following • f[g(3)] • g[h(-2)] • h[h(1)]

More Related