Home
Math symbols
Jokes
Forum
About us
Links
Contact us
Site map
Search The Site
   
   Program of Lessons
 
 Study Guide
 Topics of problems
 Tests & exams
www.bymath.com Study Guide - Arithmetic Study Guide - Algebra Study Guide - Geometry Study Guide - Trigonometry Study Guide - Functions & Graphs Study Guide - Principles of Analysis Study Guide - Sets Study Guide - Probability Study Guide - Analytic Geometry Select topic of problems Select test & exam Rules Price-list Registration

Inverse function


If  to change an argument and a function by roles, then  x will be a function of  y. In this case we say about a new function, called an inverse function. Assume, we have a function:

v = u 2 ,

where  u  is an argument and  v  is a function. If to change them by roles, we’ll receive  u  as a function of  v :

If  to mark in both of the functions an argument as  x and a function as y, then we have two functions:

each of which is an inverse one to another.

E x a m p l e s . These functions are inverse one to another:

                         1)  sin x  and  Arcsin x,  because if  y = sin x,  then  x = Arcsin y;
                         2)  cos and  Arccos x,  because if  y = cos x,  then  x = Arccos y;
                         3)  tan x  and  Arctan x,  because if  y = tan x,  then  x = Arctan y;
                         4)  e x  and  ln x,  because if  y = e x,  then  x = ln y.

Back


| Home | About us | Links | Contact us |

Copyright © 2002-2007 Dr. Yury Berengard.  All rights reserved.