1 / 4

Understanding Inverse Functions and One-to-One Characteristics

Inverse functions are crucial in understanding how functions relate to each other. A function has an inverse if it is one-to-one, meaning that if f(a) = f(b), then a must equal b. To find the inverse of a function, apply the Horizontal Line Test, replace f(x) with y, switch x and y, and solve for y. To verify that two functions are inverses, check that f(g(x)) = g(f(x)) = x. This ensures that one function undoes the effect of the other, making them true inverses.

helena
Télécharger la présentation

Understanding Inverse Functions and One-to-One Characteristics

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. Section 1.5

  2. Inverse Functions • One-to-One: A function has an inverse if and only if it is one-to-one f(a) = f(b) means a = b

  3. Inverse Functions • How to find the inverse of a function 1) Use the Horizontal Line Test to decide if the function has an inverse 2) Replace f(x) with y 3) Switch x and y 4) Solve for y

  4. Inverse Functions • How to verify two functions are inverses of each other? If f(x) and g(x) are inverses of each other, then f(g(x)) = g(f(x)) = x

More Related