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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.
Solve (3x+ 1/ x + 4 ) ≥ 1. Solution The first thing that we have to do here is subtract 1 from both of sides and then get everything in a single rational expression. (3
I have quite a complex formula I need resolved, I can''t get my head around. I have got so far but I personally don''t know how to proceed further. HELP!
how do I do it?
I don''t understand it
a3=8,a5=2, n=6 what is the sum
9-6x>3-5x
Coordinates for the point The listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point. The ordered pair for any spec
5x-3y-11=0 and 3x+10y+17=0 Solve for all variables in each system of equations
need helpplease
how to graph f(x)=-x to the 3rd minus 3 using transformations
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