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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.
-1/5t>7 -
r-17
x-2y = z for y
A student''s tuition was $3008. A loan was obtained for 7/4 of the tuition. How much was the loan? The student''s loan was for?
There are several quantities out there within the world which are governed (at least for a short time period) by the equation,
I am trying to find the answer to y=x^2+12x-11 Would you help me
http://www.transtutors.com/live-online-tutor/math-help/
Do you have any helpful hints for solving equations?
Example Sketch the graph of the common logarithm & the natural logarithm on the similar axis system. Solution This instance has two points. Firstly, it will familiarize u
x^2+6x+8=0
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