Let's start with addition. We are going to use the functions =2x^{2}+3 "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
and =3x+2 "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
.
We are going to add them by saying +g(x) "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
, which is equal to (x) "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
.
So let's add:
So we have = 
Then we plug in x, and find an answer.
The process is the same for (x) "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
, (x) "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
, and (x) "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
.
But when it comes to division, we have to make sure the denominator isn't zero.
But you have to remember: use parentheses when doing these operations. Or the world will crumble. And it will be YOUR fault.
Now it gets freaky. We got these things called Composite Functions.
They are written as (x) "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
. The little circle icon (
) is the composition sign. It is read "f
composed with g of x." It means you take  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
and plug it into function 
.
So it is also written as ) "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
.
If  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
=2x, and =3x,+2, you take 2x and substitute it for x. So =6x+2.
Well, that's really all we've learned about operations on functions. Byeeee
Andrew Geller
No comments:
Post a Comment