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

Example of work- rate problems, An office contains two envelope stuffing ma...

An office contains two envelope stuffing machines. Machine A can stuff a batch of envelopes within 5 hours, whereas Machine B can stuff batch of envelopes within 3 hours. How much

Word problem.., In a certain class, one half of the male students and two t...

In a certain class, one half of the male students and two thirds of the female students speak Freanch. If there are three fourths as many girls as boys in the class. What fractio

Functions, I am trying to figure out this answer f(x) = -3/4x + 4. but thi...

I am trying to figure out this answer f(x) = -3/4x + 4. but think I am getting it all wrong

Negative exponents, what is the proper way to state a negative exponent whe...

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

Calculate the greatest common divisor, Question 1: (a) Describe a binar...

Question 1: (a) Describe a binary operation on a set S. (b) Give the definition of a group. (c) State whether the following statements are TRUE or FALSE. Justify your

Factoring, ac + xc + aw^2 +xw^2 i need to factor the problem above

ac + xc + aw^2 +xw^2 i need to factor the problem above

Inequality problem, why is the inequality symbol must be reversed when both...

why is the inequality symbol must be reversed when both sides of a inequality are multiplied or divided by a negative number

Programming quadratic equations, HOW TO PROGRAM QUADRATIC EQUATIONS, INEQUA...

HOW TO PROGRAM QUADRATIC EQUATIONS, INEQUALITIES AND FUNCTIONS INTO A TI 84 PLUS C SILVER EDITION

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