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
$2.350 is invested in account paying 9% compound semiannually. how much will the account be worth after 8yrs


How do you expand a sigma notation from x to x of a variable that is not defined in the index. For example, summation of i=1 to n of x?

#question.3000 board feet of maple lumber for making their classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern maple rocke

#questionfWRWETWE..


add - 3a + b - 10 -6c, c -d- a + 9 and - 4c +2a - 3b - 7


How to find the valve of A''u B''

I am looking the domain of g^2-6g-55/g. The denominator here can be also be written as 1g, right?