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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.
(y-3)=2(x +2)
i need with algebra
For these properties we will suppose that x > 0 and y > 0 log b ( xy ) = log b x + log b y log b ( x/y) = log b x - log b y log b (x r ) = r log x If log
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4.5 qt / min = ____ gal / h
81x^5-49x^3=0
There are also two lines on each of the graph. These lines are called asymptotes and as the graphs illustrates as we make x large (in both the +ve and -ve sense) the graph of the h
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