INVERSE FUNCTION

The set X of all possible input values is known as domain and the set of all values  of f(x) as x varies through X is called range  of a function.

Example: Let f : R → R be the function defined as f(x)= 2x+1 then find -1(x)

Solution.

                             As    f(x) = 2x+1

                                     y - 1 = 2 x 

                                    x=\frac{y - 1}{2}           → (1)

we know that   f( x ) = y   

                          x = -1(y)

By putting value of x in (1) we get

                            f^{-1}\left ( y \right )=\frac{y-1}{2}

 

By Replacing y = x we get

                          f^{-1}\left ( x \right )=\frac{x-1}{2}

                        

 

 

For other Definitions Click here

 

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top