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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.
Nel skates at 18 mph and and Christine skates at 22 mph if they can keep up that pace for 4.5 hours how far will they be a part at the end of the time
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An artifact was found and tested for its carbon-14 content. If 86% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has
2x-1=10 I got 9/2 but i''m not sure if that is really right
what is the solution set y>2
Augmented Matrix Previously we saw that there were some special cases in the solution to systems of two equations. We illustrated that there didn't need to be a solution at al
How do i know where to shade on an inequalitie graph
1. f(x)=-2x+7x^2
12 + 5x = 6 - x
52% of 0.40 of =
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