http://imageshack.us/photo/my-images/221/photoon121120at750pm.jpg/

Here is the link for the image, for some reason it did not work properly #15 at the bottom

What math course are you in right now, and what math courses have you taken in your past. Please be as descriptive as possible otherwise, i may give you an answer that isn't applicable, and if you try to replicate it, your teacher will call you out on it.

f(x)=1+1/x
f(1/x)=1+x

so using these we have on the L.H.S. = 1+1/x+1+x and on the R.H.S we have (1+1/x)(1+x)

simplifying L.H.S. we have 2+x+1/x
simplifying R.H.S we have 1+1/x+x+1 or 2+x+1/x which is the same as L.H.S therefore the identity is proven

EDIT: TF.tv probably isn't the greatest place to ask for math homework advice.

At this point i really dont care, i just need any answer to give but im in grade 11 math in canada. Canada doesn't use the same american system where you take algebra for a whole year, you just do little pieces of each type of math every year through highschool. Idk if youll understand this but if you could give me an answer that is either below university level (if that exists) or that is grade 12 level...Hope you can understand this

lol. Thomas what was the "university - level" solution you had?

This was the answer i was looking for thanks

http://i.imgur.com/1K1L9.jpg

oops too late

This was just simple substitution. I would recommend getting really comfortable with it if you ever go to college. Calculus requires a lot of algebra.

I was thinking along completely different lines, like the whole "prove the Pythagorean theorem". But o'well :)

EDIT: LOL god i feel retarded it was just simple foil, whenever i see prove something with f(x) I instantly jump to plotting a function.

The canadian system for math/science sounds a lot better than the american system.

I completely disagree. In 11th grade, most people in my grade were working on single variable calculus. Some were working on multivariable too.

same for me, a good chunk of my grade took AB/BC in 11th, but multi/linear were for da speshul kidz who were super smart

I've always been terrible at math, and this hurts my head.

Yeah from the people I've talked to the systems are actually really similar. Canadians might call their courses something different than what we call our courses. But it is mostly the same material in the same time frame. For example, I took pre-calculus before Calculus I. But my Canadian friend took trigonometry before Calculus I. They are the same material. You might learn something different but it's just the same way I'll probably learn something in my Cal I class that you might learn in your Cal I class. Even if we live in the same state.

Math is one of those subjects where you can't really have that big of a difference in how the material is taught or rather what is taught. You can't possibly know how to do dxdy without knowing limits.

The high school curriculum (at least in Ontario) cut out most algebra, so the curriculum is 90% calculus. Kinda sucks when you enter university and you get surprised (read: raped) in first year mathematics courses. Might have something to do with the removal of Grade 13, not sure.

Agreed. I find calculus to be pretty easy. The algebra part of it fucking sucks sometimes though.

You can easily know how to use differentials and derivatives and integrals without limits. I guess you might not completely understand it but you can.

Yeah I didn't word that right or use a good example at all. Though you'd have to know what kind of equations were continuous and which ones weren't, and you sort of need to know limits to be able to do that.