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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.
linear functions
Here are two one-to-one functions f (x ) and g ( x ) if (f o g )( x ) = x AND ( g o f ) ( x ) = x then we say that f ( x )& g ( x ) are
Solve the system algebraically. x - 2y - 3z = negative-1 2x + y + z = 6 x + 3y - 2z = negative13
how do you find the solution using linear combinations 4x+3y=-1 and -3x+-5y=9
The record high temperature for Asheville, North Carolina was 99 degree Fahrenheit. The low record was -17 degrees Fahrenheit. What is the difference between these two temperatures
how do you solve function of x ?
(81x^2/256)^1/4
plz help me with this : X² = X + 1 find X , help me solve it , all it maters is u put the way , ( How ) , and plz solve it with an easy way !
add - 3a + b - 10 -6c, c -d- a + 9 and - 4c +2a - 3b - 7
8x+14y=4 -6x-7y=-10
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