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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.
1/4 +2/3+4/24 show all work
Example: Solve following equations. 2 log 9 (√x) - log 9 (6x -1) = 0 Solution Along with this equation there are two logarithms only in the equation thus it's easy t
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Earthquake Intensity Commonly the Richter scale is utilized to measure the intensity of an earthquake. There are several different ways of computing this depend on a variety of
i want the limits of this equation
Now, let's solve out some double inequalities. The procedure here is alike in some ways to solving single inequalities and still very different in other ways. As there are two ineq
Solve x 2 -10 Solution There is a quite simple procedure to solving these. If you can memorize it you'll always be able to solve these kinds of inequalities. Step 1:
(5,7;y=1/3x+2
Paula weighs 120 pounds, and Donna weighs p pounds. Paula weighs more than Donna. Which expression shows the difference in their weights?
3x-2(4x+9)=-58
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