Combining functions, Algebra

Assignment Help:

The topic along with functions which we ought to deal with is combining functions.  For the most part this means performing fundamental arithmetic (subtraction, addition, multiplication, & division) with functions. There is one new means of combing functions which we'll need to look at as well.

Let's begin with basic arithmetic of functions.  Given two functions f(x) & g(x) we have the following notation & operations.

 ( f + g )( x) =f ( x ) + g ( x )                                              ( f - g )( x ) =f ( x ) - g ( x )

( fg ) ( x ) = f ( x ) g ( x )                                                 (f /g) ( x ) = f ( x )/ g ( x )

Sometimes we will drop the ( x )part & just write  down the following,

f + g = f ( x ) + g ( x )     f - g=f ( x ) - g ( x )

fg =f ( x ) g ( x )                          f/g =            f ( x ) /g ( x )

Note as well that we put x's in the parenthesis, however we will frequently put in numbers as well.


Related Discussions:- Combining functions

Perimeter, a farmer has a garden with 2 sides at right angles and the third...

a farmer has a garden with 2 sides at right angles and the third side is 423ft.long.find the perimeter of the garden. if the angle between the shortest and the longest side is 58''

., what the hell is the problem to this solution .

what the hell is the problem to this solution .

Help x.x, 2/3N + 4 = -26 solve for n, but what do i do with the fraction?...

2/3N + 4 = -26 solve for n, but what do i do with the fraction?

Solving word problems using linear sytems, Kelly has 24 and quarters worth ...

Kelly has 24 and quarters worth $3.60. How many quarters does she have?

Polynomial satisfy - rational root theorem, Example: prove that the roots ...

Example: prove that the roots of the below given polynomial satisfy the rational root theorem. P ( x ) = 12x 3 - 41x 2 - 38x + 40 = ( x - 4) (3x - 2) ( 4x +5) Solution

Backtracking equations, I need some help with Backtracking equations.I have...

I need some help with Backtracking equations.I have a quiz tomorrow, and i was hoping that you guys could help.

Word problems, Shirley has 8 fewer pairs of earrings than bracelets. She h...

Shirley has 8 fewer pairs of earrings than bracelets. She has 15 bracelets. How many pairs of earrings does she have?

Help me solve please, Given a = 2^4 * 3^3 * 7 * 13 and b = 2^3 * 3^2 * ...

Given a = 2^4 * 3^3 * 7 * 13 and b = 2^3 * 3^2 * 5^2 * 11 * 17 (Note ^ is my symbol for exponent) find the greatest common denominator of a and b. Find the least common mult

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