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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.
answer in scientific notation correct to the ten thousandths 471,598,000,000
5x+2=
what are the steps to solving a variable like this one -3f=g for f
i need help on that topic
Distance/Rate Problems These are some standard problems which most people think about while they think about Algebra word problems. The standard formula which we will be using
Express commuter train #12 leaves the downtown station and travels at an average speed of miles per hour towards the north-side station, which is miles away. Express commuter train
w2+30w+81 need step by step and explanation.
The luck dragon that live in the enchanted Forest weigh 4x pounds when they are x years old. Write a function table that can be used to find the weights of 6-year old, 8-year old,
Now, we've got some terminology to get out of the way. Multiplicity k If r is a zero of a polynomial and the exponent on the term that produced the root is k then we say t
find th e parent function g(x) = -(x + 8)2 + 4
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