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

Simplify, x2(x-2)-3 y3(xy2)-2/(x2)3 y-2(x2)2

x2(x-2)-3 y3(xy2)-2/(x2)3 y-2(x2)2

MACHINING FUNDAMENTALS, calculate this three-wire thread problem.1/2-20 wit...

calculate this three-wire thread problem.1/2-20 with wire size 0.032"

Integers, how to add the positive numbers to negative numbers?and what is t...

how to add the positive numbers to negative numbers?and what is the highest +5 or -3

College algebra 158, how to master college algebra and pass with an "A"

how to master college algebra and pass with an "A"

Plz hlp, how do you find the slope to a line that has no given points to it...

how do you find the slope to a line that has no given points to it

#title.solve equation. (identity or no solution)., Architecture: two buildi...

Architecture: two buildings have the same total height. One building has 8 floors each with height h. The other building has a ground floor of 16 ft and 6 other floors each with he

I need help, Do you accept screen shot because it is a graph.

Do you accept screen shot because it is a graph.

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