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

Determine the two zeroes - factor theorem, Given that x=2 is a zero of P ( ...

Given that x=2 is a zero of P ( x ) = x 3 + 2x 2 - 5x - 6 determine the other two zeroes. Solution Firstly, notice that we actually can say the other two since we know th

Hannah , What is 45y x 56y simplified?

What is 45y x 56y simplified?

Square root, Next we desire to take a look at f (x ) =√x . First, note that...

Next we desire to take a look at f (x ) =√x . First, note that as we don't desire to get complex numbers out of a function evaluation we ought to limit the values of x that we can

Word problem, Tickets for the school play cost $6 for students and $9 for a...

Tickets for the school play cost $6 for students and $9 for adults. On opening night, all 360 seats were filled, and the box office revenues were $2610. How many student and how

Pricing problems, Pricing Problems Below give problem deal with some ba...

Pricing Problems Below give problem deal with some basic principles of pricing. Example A particular calculator has been marked up as 15% & is being sold for $78.50. How m

Inequality problem, why is the inequality symbol must be reversed when both...

why is the inequality symbol must be reversed when both sides of a inequality are multiplied or divided by a negative number

Truth table-boolean expressions, 1. Construct a truth table for the followi...

1. Construct a truth table for the following Boolean expressions: a) ABC + A'B'C' b) ABC + AB'C' + A'B'C' c) A (BC' + B'C) 2.   Simplify the following expressions:

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