How to Prove the Rational Function f(x) = 1/(x - 2) is Surjective(Onto) using the Definition

How to Prove the Rational Function f(x) = 1/(x - 2) is Surjective(Onto) using the Definition

[yaseenhoque]

yo this was the best video on proving a surjection

[amaliacoughlan]

Math wizard is really out here saving lives. Thank you!

[hazit]

This is the best example I've seen on how to prove a function is surjective. Thank you! Helped a lot.

[sophiabnrm]

This is incredible. Have not found anything similar to your explanation. I found almost no useful tutorials on this topic - EXCEPT THIS ONE! Your work is very much appreciated and I thank you very much for your time and energy, that you put into this videos.
I hope you have a few videos on injective as well, since it is part of characteristics of functions as well!
Wish you all the best! You gained a need subscriber

[ld]

You are totally math sorcerer. I love your films! Its easy to see, that you are real enthusiast of the math! Its nice to watching you because of that, and you can clearly show theory and examples. Greetings! :D

[JesseBourretGheysen]

This helped me with my set theory homework a Ton. Going to subscribe to your channel. A genuine Math Sorcerer!

[boiplaying]

i actually got surprised for a second, seems like you gave me some interest of maths back, The university teacher is speaking like a i have a doctorate in maths

[dv]

Man no matter how many videos I watch or how hard I try I don't get it. Well made video but I didn't get it still- not your fault though! Ig I just need to switch majors haha

[ado]

Great stuff. I always tried to prove it with limits and getting +/- infinity, but this is way better for not messing something up when calculating.

[aniketmukhopadhyay]

Thank You So much for this This helped me a lot!

[luxtenebris]

Sir you're da BEST thank you alot

[nayanakr]

Thank you sir, this video helps me a lot.

[muhammadsaif]

Please give me a example of function that is surjective for f:z×z >R

[cuberkahmin]

thanks, this video is the best of proving a surjective, :)

[ananddeeznutzjohncena]

literally, no one else actually explains it. they just say its surjective because all y can be achieved via the subset of x values. yes but if I write that when my professor asks for a proof I will be failing the course. Thank you for ACTUALLY providing the proof and method.

[flashgames]

if we take f: R\{2} -> R, this means that the function is not surjective and therefore it can't have an inverse function?

[shindayuza]

I used this method and somehow was able to prove that x^2 - x is surjective, when I know it isn't, why is that?

[tn]

Every proof looks simple and intuitive until I try to solve one 💀

[fredesl]

has anyone ever told you you look like jeff bezos with hair?

[ScilexGuitar]

Is this a legit proof tho. I thought we cant assume f(x) = y in the start