Post # 29

This week in Calculus we took AP tests and that's pretty much it. So, i'm going to go over a few problems that we answered on the tests..

LIMITS:

lim x -> infinity (5x^2 - 3x+1) / (4x^2 +2x +5)

Because they have the same highest exponent, you divide the coefficiants.

Which means your answer is, 5/4.

If f(x) = 5/ x^2 +1 and g(x) = 3x, then g(f(2)) =

To solve this problem, you need to plug in the numbers according to the directions.

Which means, you take the function, g, and plug in the function, f, where all the x's are.
Then, you plug in a two where all the x's are and solve using algebra.

3(5/(x^2 +1))
3(5/2^2 + 1))
= 3(5/5) = 3(1) = 3

And those are basically the only ones i got right..soo, yeah.

I currently forgot how to do average value if they don't give you endpoints..and only one equation. I don't remember how to find them, and i don't remember what test it came off of.
But if anyone can help, it'd be GREATTTTT :)