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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.
4.5 qt / min = ____ gal / h
m?1=m?2 m?2=75 m?1=75
A team needs to save up $400 for new uniforms and currently has $190. They decide to hold a fundraiser where they can earn a $7 profit for each item sold. What equation could be s
Expand the following: (2x + y)4
We will begin with inequalities that only have a single inequality in them. The thing that we've got to keep in mind here is that we're asking to find out all the values of the
what is point slope form
WHAT IS 4X+5/5X+5
Example If 8 ×10 14 joules of energy is released at the time of an earthquake what was the magnitude of the earthquake? Solution There actually isn't much to do here o
Find out the domain of each of the following functions. g( x ) = x+3 /x 2 + 3x -10 Solution The domain for this function is all of the values of x for which we don't hav
1/4 x 5/8 =
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