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
There are several quantities out there within the world which are governed (at least for a short time period) by the equation,

Multiply a Row by a Constant.   In this operation we multiply row i by a constant c and the notation will utilizes here is cR i .  Note that we can also divide a row by a constant

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

It is the final type of problems which we'll be looking at in this section.  We are going to be looking at mixing solutions of distinct percentages to obtain a new percentage. The

#quewhat is the origal value if a shirt cost $15 before the sale and cost $12 in the sale.

Solve following. 2x - 3 = 7 Solution Again, p represents the quantity within the absolute value bars thus all we have to do here is plug into the formula & then solve th

if A is an ideal and phi is onto S,then phi(A)is an ideal.