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

Absolute inequality, which of the following value for x falls within the do...

which of the following value for x falls within the domain of the absolute inequality below? 2/3|9+x|>4

AS/A2 Coursework, I need to do a coursework for math but do not know what t...

I need to do a coursework for math but do not know what to do?

Slopes, why is the slope of two perpendicular line a negative reciprocal

why is the slope of two perpendicular line a negative reciprocal

Equations with more than one variable, Here we'll be doing is solving equat...

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

Parallelograms., how to find the multiplication factor

how to find the multiplication factor

For a Good Cause, a car wash at the local gas station costs $10.95 includin...

a car wash at the local gas station costs $10.95 including tax. How many car washes can you get at the gas station and still pay less than Plan A: 3 Coupons Coupon Booklet $32.99 P

Multipliying and dividing negative fractions, how would you divide a negati...

how would you divide a negative fraction with a positve fraction

Factoring.., w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 +...

w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 + 12)/(6 + y) ac + xc + aw^2 + xw^2 10a^2- 27ab + 5b^2 For the last problem I have to incorporate the following words

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