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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.
5p-6/7p^8
7-four divided by5x is greater than3 divided by 5_
y=x^2+2x-15
Rectangular or Cartesian coordinate system We will begin with the Rectangular or Cartesian coordinate system. It is just the standard axis system that we employ when sketching
the student enrollment at a university is 25,300 is expected to increase by 2% next year. what will the enrollment be then?
Sketch the graph of function. f ( x ) =3x + 6 /x -1 Solution Thus, we'll start off with the intercepts. The y-intercept is, f (0) =6/-1=-6⇒ (0, -6)
you can use the equation -b +or- Square root of bsquared - 4(a)(c)over 2a. But if you number for b is b is negative it will become positive??? And if the number was + it will Beco
y+5=(4x+1)
-5-6y+6=19
Properties of Logarithms 1. log b 1 = 0 . It follows from the fact that b o = 1. 2. log b b = 1. It follows from the fact that b 1 = b . 3. log b b x = x . it c
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