Example of inverse functions, Algebra

Here are two one-to-one functions f (x ) and g ( x ) if

    (f o g )( x ) = x           AND                         ( g o f ) ( x ) = x

then we say that f ( x )& g ( x ) are inverses of each other. More particularly we will say that  g ( x ) is the inverse of f ( x ) and specified it by

                                                        g ( x ) = f -1 ( x )

Similarly we could also say that f ( x ) is the inverse of g ( x )and specified it by

                                           f (x ) = g -1 ( x )

The notation which we use really based upon the problem.  In most of the cases either is acceptable.

For the two functions which we started off this section along with we could write either of the following two sets of notation.

f ( x ) = 3x - 2                                           f -1(x) = x /3+ 2/3

g ( x ) = x/3 + 2/3                                 g -1 (x ) = 3x - 2

Now, be careful along with the notation for inverses. The "-1" is not an exponent in spite of the fact that is certain does look like one! While dealing with inverse functions we've got to keep in mind that

                           f-1(x)   ≠ 1/ f ( x )

Posted Date: 4/8/2013 1:22:22 AM | Location : United States







Related Discussions:- Example of inverse functions, Assignment Help, Ask Question on Example of inverse functions, Get Answer, Expert's Help, Example of inverse functions Discussions

Write discussion on Example of inverse functions
Your posts are moderated
Related Questions


Actually here we're not going to look at a general cubic polynomial.  Here we are jsut going to look at f ( x ) = x 3 . Really there isn't much to do here other than only plugging





what is the three in four to the third power?


Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls. How many girls attended the first session of s