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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.
w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 + 12)/(6 + y) ac + xc + aw^2 + xw^2 10a^2- 27ab + 5b^2 For the last problem I have to incorporate the following words
math help
what is -7/2*w=20
Five star coffee charges a 40 dollar start up fee and then 8 dollars per month. Custom coffee company charges a 25 dollar start up fee and 12.50 dollars per month. In which time fr
Not every linear system along with three equations and three variables utilizes the elimination method exclusively therefore let's take a look at another instance where the substit
Carl and his dad I stonecarvers. Carl can cut the stone in five days. With his father''s help he can carve it in two days. How long would take his father to carve it alone. Bob c
1/2x-2y=4 to slope intercept form
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:
Suppose you are provided with a geometric sequence. How can you find the sum of n terms of the sequence without having to add all of the terms?
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