Inverse Functions

We know about functions, so what are inverse functions? Let's find out!

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[jaineilsart]

Finally a channel that teaches quickly and effectivly without any inconvenience.

[robintay]

Thank you so much! You made inverse functions easier than my professor did.

[Cube_Box]

wow, you're so straight forward I understood the whole thing from the thumbnail itself!

[aprendacompaiva]

Congratulations for the video!
Compliments from Brazil

[theocean]

The one thing I just don't understand is when in your example of x+2 and x-2 (when x =3) that the 5 you get from adding 3 and 2 can just be substituted back into x-2 like this (5-2) to obtain the 3 when this 5 is a y value.

[leftenanalim]

What about the squared of a negative number? The reverse operation should return back a negative number. So sqrt could should return either a positive or negative value

[DrLiangMath]

Concise and understandable. Excellent!

[julianjhulzbayubay]

Should change your Comprehension #3 to = x/3 +1. Got confused at it then I used a calc to solve it if it was right (almost got me there lol)

[melanietoussaint]

Why is important the study of inverse function in the study of function?

[Nishantmakadiya]

Only one day absence in school can ruined math after this video all makes sense now thanks

[zilog]

this is interesting because this has to do with my cryptography class for CIT. if a function generates a hash, undo that...

[ChromeandClean]

Professor, could you please explain the 4th comprehension question, (2x+1)/4, and how you got your answer

[swxqt]

At the end, isn't 1/3(x + 3) simply equal to 1/3x + 1?

[pradyumnamishra]

Sir, in the first comprehension ...how did you solve ...when (x-1) is in the brackets . I mean what to subtract from both sides ...I didn't get it ...I don't get it when there are brackets

[rubinamujahidah]

I am in 9th grade but my love for mathematics have brought me here

[wongcheehen-undr]

But I have tried with with multivariable functions (e. g( x^2 / 7)+( 3(x^2))/5 ) and end up getting some y=uy with looped functions is it normal?

[whatdoyouthink]

The functions that have square root, they don't have inverse.right?

[camxanh]

Shouldn't the answer to the first comprehension quest is (x+2)/2? May you check that again?

[sanchitaagte]

absolutely amazing, youre literally doing god's work <3333

[zack_]

3:46 - The notation is chaotic. originally y=4x-5, and then it becomes y=(x+5)/4 !? How do you reconcile this obvious contra/error? Mathematicians should've come up with a better way to express inverse functions. Just like the inverse trig function where e.g. the inverse of sin(x) = arcsin(x), this UNAMBIGUOUSLY separate the two reciprocal functions.

0:40, f^-1 is the original notation for 1/f, e.g. 10^(-1)=1/10=0.1. why then here you subjectively disqualify the rule? This is not correct even it is used as such. This is one of the reasons why some math subjects are 'hard' to understand and misleading.