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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-1=10 I got 9/2 but i''m not sure if that is really right
Find out the partial fraction decomposition of each of the following. 8x 2 -12/( x( x 2 + 2 x - 6) Solution In this case the x which sits in the front is a linear term
square root o f 34
where and how does the letter a and b where and how do u use them
(1/2)q + 3= 10.5 + q
what is the slope of x+y=5 and x-y=3
Im an 8th grader and my grades arent the best. Im really having trouble with slope. I just dont get it all that well.
x^2+11x+24=0
Can you help me with Algebra
one no. is 7 more than another and its square is 77 more than the square of the smaller number.What are the numbers?
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