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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.
x+y=5 Y+-2x+5
Completing the Square The first method we'll learning at in this section is completing the square. This is called it since it uses a procedure called completing the square in t
7x+6=x-30
Here we'll be doing is solving equations which have more than one variable in them. The procedure that we'll be going through here is very alike to solving linear equations that i
The population of a city was 141 thousand in 1992. The exponential growth rate was 1.6% per year. Find the exponential growth function in terms of t,where t is the number of years
What we desire to do in this section is to begin with rational expressions & ask what simpler rational expressions did we add and/or subtract to obtain the original expression. The
A car travels at a rate of 50 miles per hour.Use equivalent ratios to graph the distance the car travels over time.Graph time on the x-axis and distance on the y-axis
how do you subtract 6/9 and 1/12
what is the sum of 7/9 - 1/3
Z=4X1+10X2
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