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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.
the student enrollment at a university is 25,300 is expected to increase by 2% next year. what will the enrollment be then?
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
Labrador retrievers that compete in field trials typically cost $2,000 at birth. Professional trainers charge $400 to $1,000 per month to train the dogs. If the dog is a champion b
2x-3x=16 what do i do?.
Example: Solve following equations. 2 log 9 (√x) - log 9 (6x -1) = 0 Solution Along with this equation there are two logarithms only in the equation thus it's easy t
The cost of a can of Coca-Cola in 1960 was $0.10. The exponential function that models the cost of Coca-Cola by year is given below, where (t) is the number of years since 1960. C
i want to find the product using suitaible identities: (x+y+2z){(x*x)+(y*y)+4(z*z)-xy-2yz-2zx}
How do I figure out what is 20% of 100?
how many does a rhombus have
330 radians
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