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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.
If you deposited $500 for 4 years at 6% annual interest, compounded semi-annually, how much money would you have saved?
One of my homework questions ask to find the slope and y-intercept of a table and I''ve tried quite a few methods and just can''t figure it out. PLEASE HELP!!
A function is called one-to-one if no two values of x produce the same y. It is a fairly simple definition of one-to-one although it takes an instance of a function which isn't one
r+7= r=3
is (1,7),(2,7),(3,7),(5,7) a function
how do I graph the equation y= -1/x
(M^1/4n^1/2)^2(m2n3)^1/2
need help with homework
Given f ( x ) = 2 + 3x - x 2 and g ( x ) = 2 x -1 evaluate ( f + g ) ( 4) Solution Through evaluate we mean one of two things based on what is in the parenthesis. If the
Can you help me with Algebra
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