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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.
why is the slope of two perpendicular line a negative reciprocal
Suppose you are provided with a geometric sequence. How can you find the sum of n terms of the sequence without having to add all of the terms?
I have 10 apples and my friend has 100 apples.How many apples do we have ?
what is the optimal solution for 1w+1.25m
the sum of four consecutive even integers is 2 more than five times the first integer.find the smallest integer
x=4y=12 i dont know how to do this can you please help me??!!
Coordinates for the point The listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point. The ordered pair for any spec
25/30=x/12
a mixture of 45g of salt and 29g of banking soda is poured in 370ml of water. What is the total of mass of the mixture in grams?
9189 divided by 13
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