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

Alligation Method, You need to prepare a 30 mL solution of a 1:6 syrup solu...

You need to prepare a 30 mL solution of a 1:6 syrup solution. You have on hand a 50% syrup solution and a 1:200 soda solution. How many mL of each solution will you need?

(-4, What would an equation of this line passing through each pair of poin...

What would an equation of this line passing through each pair of points given?

Complex number, let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z...

let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z^=3,x*y*z=4,then 1/(x*y+z-1)+1/(x*z+y-1)+1/(y*z+x-1) is

Decimals to fractions, how do I change 0.68 to a fraction or mixed number

how do I change 0.68 to a fraction or mixed number

Find solution using quadratic equation, Two cars start out at the similar p...

Two cars start out at the similar point.  One car starts out moving north at 25 mph. later on two hours the second car starts moving east at 20 mph.  How long after the first car s

Evaluating radical expressions, Express the answer as an integer, simplifie...

Express the answer as an integer, simplified fraction, or a decimal rounded to two decimal places.

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