2.7_bzca5e - Section 2.7 Inverse Functions Inverse...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 2.7 Inverse Functions
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Inverse Functions
Background image of page 2
The function f is a set of ordered pairs, (x,y), then the changes produced by f can be “undone” by reversing components of all the ordered pairs. The resulting relation (y,x), may or may not be a function. Inverse functions have a special “undoing” relationship.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
1:1 Functions are a subset of Functions. They are special functions where for every x, there is one y, and for every y, there is one x. Relations Reminder: The definition of function is, for every x there is only one y. Functions 1:1 Functions Inverse Functions are 1:1
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Inverse Functions Let's suppose that f(x)=x-300 and g(x)=x+300 then f(g(x))=(x+300)-300 f(g(x))=x Notice in the table below how the x and f(x) coordinates are swapped between the two functions. x f(x) 1200 900 1300 1000 1400 1100 x g(x) 900 1200 1000 1300 1100 1400
Background image of page 6
Find f(g(x)) and g(f(x)) using the following functions to show that they are inverse functions. x-2
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 28

2.7_bzca5e - Section 2.7 Inverse Functions Inverse...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online