Example of inverse functions, Algebra

Assignment Help:

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 )


Related Discussions:- Example of inverse functions

Set-builder notation, to get a discount at the diner, you must either be le...

to get a discount at the diner, you must either be less than 10 years old or at least 55 years old.

Stutdent, #question.3000 board feet of maple lumber for making their classi...

#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

Solve a quadratic equation through completing the square, Solve a quadratic...

Solve a quadratic equation through completing the square Now it's time to see how we employ completing the square to solve out a quadratic equation. The procedure is best seen

Quiz #5., Working together Jack and Bob can clean a place in 30 minutes. On...

Working together Jack and Bob can clean a place in 30 minutes. On his own, Jack can clean this place in 50 minutes. How long does it take Bob to clean the same place on his own?

Solve out given systems, Example 2 Solve out following systems of equation...

Example 2 Solve out following systems of equations. 3x + y - 2z = 2 x - 2 y + z = 3 2x - y - 3z = 3 Solution Firstly write down the augmented matrix for this syst

Equation of the golden ratio , plz help me with this : X² = X + 1 find X ,...

plz help me with this : X² = X + 1 find X , help me solve it , all it maters is u put the way , ( How ) , and plz solve it with an easy way !

Expanding brackets.., how to expand when asked to divide, multiply etc

how to expand when asked to divide, multiply etc

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd