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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.
In this section we are going to look at equations which are called quadratic in form or reducible to quadratic in form . What it means is that we will be looking at equations th
can any one help me with my geometry
??2+??2+16??-18??+145=25 Standard form (x-h)^2 +(y-k)^2 k (x^2+16x+64)^2+(y^2-18y+81)^2=25 (x+8)^2+(y-9)^2=120 (h,k)=(8,-9) R=5 Intercepts
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45
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