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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.
2x^2+7x+3/x^2-2x-15
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
y=-x-2 y=-5x+2
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8
5+5
Michael bought three USB flash drives each capacity of 1.5 gigabytes.He also bought two USB flash drives each with a capacity of @ gigabytes.Express the total capacity of the three
3y+2.5x+3.4 use graphing calculator and the x intercept approach. Use window[-3,3,1][-3,3,1]
how do you solve 2x+ax-7>-12
8x+14y=4 -6x-7y=-10
prescription has a 35% mark up with a 5.66 dispense fee one tablet is 15.70 and how much would 3 tablets cost?
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