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

Synthetic division table, Synthetic division table In a synthetic divis...

Synthetic division table In a synthetic division table perform the multiplications in our head & drop the middle row only writing down the third row and as we will be going thr

Double inequality, The following is a double inequality.                ...

The following is a double inequality.                                                                   -9 In a double inequality we are saying that both of the inequalities

Find out the symmetry of equations, Find out the symmetry of equations. ...

Find out the symmetry of equations.                                                  y = x 2 - 6x 4 + 2 Solution First we'll check for symmetry around the x-axis. It

Equation in slope-intercept form, Find an equation of the line containing e...

Find an equation of the line containing each pair of points. Write your final answer in slope-intercept form. (-2,0) and (0,-7)

Help please, Achieve $225,500 at 8.75% compounded continuously for 8 years,...

Achieve $225,500 at 8.75% compounded continuously for 8 years, 155 days

Solving the inequalities, Inequalities Involving > and ≥ Once again l...

Inequalities Involving > and ≥ Once again let's begin along a simple number example.                                                     p ≥ 4 It says that whatever p i

MATHHH HELPPP, the sum of three consecutive odd integers is -195. find the ...

the sum of three consecutive odd integers is -195. find the three integers.

Shapes, I know im not in the exact grade yet but i would like to know how i...

I know im not in the exact grade yet but i would like to know how it works to be ahead of time

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