Thursday, June 16, 2011
Summer! But Still School...
Wow, been a really long time since I've been here... D: Were there any new requests? Any new ones?
Friday, March 11, 2011
A Quick Review of Composite Functions and Inverse Functions
Composite Functions
Given f(x) and g(x), we have:
Adding: (f+g)(x) = f(x) + g(x)
Subtracting: (f-g)(x) = f(x) - g(x)
Multiplying: (f.g)(x) = f(x) . g(x)
Dividing: (f/g)(x) = [f(x)]/[g(x)]
Substitution: (f˚g)(x) = f(x)˚g(x) = f(g(x))
Example:
f(x) = x^2 + 1 and g(x) = x-1
(f+g)(x) = x^2 + 1 + x - 1 = x^2 + x
(f-g)(x) = x^2 + 1 - (x-1) = x^2 - x + 2
(f.g)(x) = (x^2+1)(x-1)= x^3 - x^2 + x - 1
(f/g)(x) = (x^2+1)/(x-1)
(f˚g)(x) = f(g(x)) = f(x-1) = (x-1)^2 + 1
Inverse Functions
Two functions are defined as inverses if the compositions f(g(x))=x and g(f(x))=x are true.
Two ways to find inverse functions:
1. Graph the function, then reflect it into y=x to get the graph of the inverse function.
2. Switch the x's for y's and the y's for x's in the function, solve for y to get the inverse function.
Given f(x) and g(x), we have:
Adding: (f+g)(x) = f(x) + g(x)
Subtracting: (f-g)(x) = f(x) - g(x)
Multiplying: (f.g)(x) = f(x) . g(x)
Dividing: (f/g)(x) = [f(x)]/[g(x)]
Substitution: (f˚g)(x) = f(x)˚g(x) = f(g(x))
Example:
f(x) = x^2 + 1 and g(x) = x-1
(f+g)(x) = x^2 + 1 + x - 1 = x^2 + x
(f-g)(x) = x^2 + 1 - (x-1) = x^2 - x + 2
(f.g)(x) = (x^2+1)(x-1)= x^3 - x^2 + x - 1
(f/g)(x) = (x^2+1)/(x-1)
(f˚g)(x) = f(g(x)) = f(x-1) = (x-1)^2 + 1
Inverse Functions
Two functions are defined as inverses if the compositions f(g(x))=x and g(f(x))=x are true.
Two ways to find inverse functions:
1. Graph the function, then reflect it into y=x to get the graph of the inverse function.
2. Switch the x's for y's and the y's for x's in the function, solve for y to get the inverse function.
Wednesday, March 2, 2011
Monday, January 24, 2011
Practice Tests/Quizzes
Oh my gosh, I'm so sorry about the quizzes!!!!! I will try to remake them and post them all again as soon as possible! And remember, if you guys have any questions about any subject, just ask!!
Tuesday, January 18, 2011
The Odyssey Part One
CAUTION! So, I made the quiz, and it's not perfect. Sorry!
Friday, January 14, 2011
Special Triangles
Since it seems as if most of you are having trouble with special triangles, here's an easy (somewhat, but anyways, suck it up) formula.
Monday, January 10, 2011
Friday, January 7, 2011
Darwin and Elephants
We had hw today on elephant trunks and comparing what Darwin would've thought to what Lamarck would've thought. Here's a link that will help!
http://www.stlzoo.org/downloads/IntrotoNaturalSelection.pdf
Here's a quiz to see if you know your stuff ;)
http://www.stlzoo.org/downloads/IntrotoNaturalSelection.pdf
Here's a quiz to see if you know your stuff ;)
Thursday, January 6, 2011
Help US out!
For us to be able to help you guys to our best, please remember not to just check this site out, ask questions! We welcome all, and do not be afraid! If there aren't any questions, there won't be solutions and explanations!
Any Tips?
Any subject that we have not covered, that you need help in (we are also new so we might not have just made it around to creating the page) PLEASE leave use a comment on what subject that might be! Also if you have a specific question on a subject, also feel free to let us know, we will be getting that info to you ASAP. -2Win tutoring
Tuesday, January 4, 2011
Other Tutor :)
Hey guys! I will be on here also helping out answer questions and work out solutions....also i will be attempting to link pages of things that might help or pages with solutions on them! I hope everyone can find this very useful and hopefully give more time for fun weekend nights:) Also if i haven't quite answered your question or if you just want other help email me at parkergtutor@gmail.com !
Hey out there!
Hey guys! 2Win at your service! This will be a place for high school students who need help on their homework. From Algebra to Physics, English to History, you’ll get the best answers possible. I’ll upload solutions and explanations for questions submitted. Comment here with your problem, or email me at 2wintutor@gmail.com and I’ll try to answer ASAP. (I’ll answer on here of course, for others to see) There may occasionally be guest tutors on here, and I assure you that they are exceptionally smart. Happy questioning
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