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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.
Give all solutions of the nonlinear system of equations including those with nonreal complex compents: xy=-20 3x+5y=5
There are two forms of the parabola which we will be looking at. The first form will make graphing parabolas very simple. Unluckily, most parabolas are not in this form. The seco
A thermometer reading 79 degrees F is brought into a cold storage room with a constant temperature of 38 degrees F. if the thermometer reads 70 degrees in 6minutes, how long will i
how solve the 2, x>-3
determine slope of 2y = -x + 10
if I have the equation 3(x+4y)+5(2x-y)an then I change it into (3x+12y)+(10x-5y) what property is it
a^x+2/a^5
find c when t=7
wir
3x-2(4x+9)=-58
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