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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.
a+2+3(2a-1)
C=2(3.14)r solve for r
Express the answer as an integer, simplified fraction, or a decimal rounded to two decimal places.
why is the inequality symbol must be reversed when both sides of a inequality are multiplied or divided by a negative number
(2a 3b 0 ) – 3 C 2
Miscellaneous Functions The importance of this section is to introduce you with some other functions that don't really need the work to graph that the ones which we've looked
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
(m2-3m-10)/(m-5)
Donna is 4 years older then Chloe, Three years ago Donna''s age was three times Chloe''s age. Find the age of each girl
6[5b+9]=2b+9.
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