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
Your school holds a spring carnival each year to raise money for local charities. you are running a carnival game called lucky seven. the player must choose whether to throw a dart

Here we'll be doing is solving equations which have more than one variable in them.  The procedure that we'll be going through here is very alike to solving linear equations that i

The city of Eden would like to put in a new street that runs parallel to Harrington Highway because of traffic issues. The equation of Harrington Highway is y = -2x + 7. What wil

Hi I need help for the next 4weeks with my online math class I have included one assignment instruction below if you can help me please give me a quote I also have math labs that I

using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,40. Formula is T x _ +_=8, T x_+_=16 etc same 2 numbers must be used. how do i figure this out? an brackets be used or minus?

what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3

Do you accept screen shot because it is a graph.


one no. is 7 more than another and its square is 77 more than the square of the smaller number.What are the numbers?

would a slope of a quadratic function get narrower or wider if the slope is changed from 3 to 2.5?