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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+5
I am trying to find the answer to y=x^2+12x-11 Would you help me
30. 5x-1 greater than 29
2x+2=2 then x value?
``A car dealer has 22 vehicles on his lot. If 8 of the vehicles are vans and 6 of the vehicles are red, and 10 vehicles are neither vans nor red, how many red vans does he have on
-(1-5n)-7n
Factor Theorem For the polynomial P ( x ) , 1. If value of r is a zero of P ( x ) then x - r will be a factor of P ( x ) . 2. If x - r is a factor of P ( x ) then r will
a stack of disks is 0.5cm thick.how many disk each at 0.125cm thick are in a stack?
Using synthetic division do following divisions. Divide 2x 3 - 3x - 5 by x + 2 Solution Okay in this case we have to be a little careful here. We have to divide by a
5+5
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