Find Domain and Range of the Function Class 11 Maths NCERT SYLLABUS 2019 Q5

[@xplainsAyu]

Domain: x≤1andx≥2orx∣(−∞,1]∪[2,∞) Range: y≥0ory∣[0,∞) since square root of positive quantity

[@IntensekillerYt]

Bhai value can't be 2 as for this function is not defined

[@GODOFWAR-p7k]

@@IntensekillerYt ho skti hai bro. Kyunki agar 2 ko x ki jgh rkho ge in the expression sqrt (x^2 - 3x + 2) toh answer zero hoga which is possible

[@jagjitkaur9622]

Wahhhh... This is what I just needed a day before my exam ...... Lol🤭 but thank u so much... It really helped.... All my passing marks are dedicated to u sir

[@sushmalal4356]

What only passing 😅

[@devdixitdixit123]

😅😅😅😅

[@vishalgamer7335]

😅right

[@BhuvanBajaj]

Experienced and a good teacher

[@mmmmbbbb5475]

Ghatiya baat

[@NiteshRoy9315]

Bhai ghatiya kyu bol rha ho

[@ArunKumar-pt4rf]

Domain=R-(1,2) or We can also write it as (-Infinity,1] union [2,infinity) Range = {0} union R^+. OR We can write range as [0,infinity)

[@ananddsavant6130]

Yeah. Even I got the same

[@ronitrathore1729]

My range is different 😢

[@anushkasahoo453]

Sir, u are just amazing, love your teaching sir.

[@dragonwarrior8787]

Bilkul sahi

[@Shergill2525]

😏

[@riyapal1832]

Wow sir after physics wallah ure the best teacher

[@rupamjyotigogoi6138]

Agree💯💯💯

[@anshsingh4091]

f(X)=√x^2-3x+2 Domain of this function=(-infinity 1] union [2 infinity). Range of this function=[0 infinity).

[@moon-ti7nz]

so the range will be just y>=0 na?

[@Want-BJ]

Bhai tera glat hai Domain-[2, +infinite) Range nikal ke bata hu

[@Want-BJ]

Bro kya tumne equation solve kari

[@pronoyrudra6609]

Bhosdike thik se kar -infinity to 1 union 2 se infinity hoga kya mathematician banega ru tu

[@SatyamKumar-gq3hf]

Love you sir you are best teacher in the world

[@kristybhowal1319]

Sir really appreciating teaching, amazing, mind blowing. I used to hate maths but you are the person who taught me how to love maths by teaching it in such a clean and clear way. I wish you were my class's maths teacher. But you are my real maths teacher. Heads off to you sir. I bow my head in respect to you. Thumbs up.

[@stud_boy5061]

Where are u from sir

[@muhammadrazaullahkhan2861]

sir i am pre medical student

[@rohitprasad5144]

you don't have eyes its in the mathura up

[@rohitprasad5144]

you don't have eyes its in the mathura up

[@kanupriya8372]

How range is infinity ???

[@vibhutisahni295]

Explained with so much clarity and logic. You are an amazing teacher. Thank you so much sir 🙏🏼

[@aakarshitaaggarwal2928]

Sir Range is y is greater than and equal to zero and domain is [ 1, 2 ]. Let me know whether the range is right or not

[@NrityaAbhyudh]

Domain is wrong

[@seemakhandelwal2294]

Sir aapse padhne me bahaut aacha bhi lagta hai aur aache se samajh me bhi aata hai

[@hattergames7306]

Domain [1,2] Range[ 2,inf)

[@PrasadRaoAtirajam-ec9nf]

Domain..... (-infinity,-1]U[2, infinity) Range........[0, infinity)

[@nielzgaming6731]

-1 nahi hoga only 1 hoga

[@kshitizsharma8773]

sir namaste and today i dont know how to solve domain and range of function i.e. f(x)=root under 21 minus 4x minus x^2 please tell how to solve it

[@Ankitsaxena-pv2kg]

Thank you sir you helped me a lot

[@RahulSen-ch9qt]

Domain:x€(-infinity,1] union of [2,infinity). Range:y€[0,infinity).

[@BIGANIMATIONCLASSKGTO]

Mine was also same...

[@AnjuSoni-bi8qj]

Bro chaap liye🎉

[@subham...23-l7b]

Excellent 👌

[@neelmanirk2684]

Sir very valuable . According to me domain €(-infinity ,1] U [2,+infinity ) Plz explain how to find range of this function

[@shiva_gaming4997]

Range kya hoga

[@debarthydeb6512]

Domain is correct what about range

[@archanagupta7356]

range is all positive real values i.e. [0,infinity)

[@hattergames7306]

Y=f(x)

[@Abdfje]

Right

[@namanbajaj7017]

Domain [-infinity , 1] u [2,infinity]

[@namanbajaj7017]

Range y _> -1/4

[@namanbajaj7017]

Sorry range y>_ 0

[@alokmaurya1790]

Domain I... =(-infinite, 1]u[2, infinite) And range =[0, infinite)

[@nidhisingh-qx7rf]

Correct

[@alokmaurya1790]

@@nidhisingh-qx7rf thanks

[@parulprarthana5413]

Can you please explain the range? Please

[@AshishKumar-vx9cj]

How to find range please explain me

[@AyushSingh-vi3xj]

@@AshishKumar-vx9cj I will explain you clearly

[@Tomarsystem]

Your explaination is my ideal explaination

[@sangeethas7760]

Thank you so much sir kl meri exam h . Your class helped me a lot sir and I will definitely share this video with my friends

[@devcoachingclasses1]

Domain of the function is. (-♾️ , 1] or [2, ♾️).

[@RAMJI-jv9lq]

Domain=(-infinity,1]U[2,+infinity)

[@arushmishra868]

Thank you so much sir, this video has helped me so much even if this video is 6 years old right this moment I can tell you that the quality of your video is marvellous.

[@AyushSingh-vi3xj]

Study 11 maths from ‘subject teacher’ his explanation is awesome

[@skarthikeyan2625]

Sir how can you split number line as less greater and less any rule?

[@innovatorborntoinvent6550]

At 8:25 why y is only positive It can be negative since (9-x^2) is +ve its roots can be negative also

[@Yashi-x5h]

its quite late to tell but x ki value domain ke andar wali rkhne par y +ve hi aayega

[@Hehehehe-b8f]

​@@Yashi-x5h pr negative bhi to ho skta h.. agar answer √9 h to vo +3,-3 ho skta h to phir sirf positive hi kyu liya

[@anjeshsingh3927]

Wow......sir gjb.....bhut acche se ye Q smjh gye......ab kbhi range ya domain nikalne mai prblm nhi hoga

[@SunitaSharma-ey4fo]

Domain is -ifinity to 1 u 2, infinity And range is 0to infinity

[@himadreetanaya4927]

Bhai domain nikal gaya range nahi nikal raha hai 😟

[@hamentkumardhingra2984]

Domain: x≤1andx≥2orx∣(−∞,1]∪[2,∞) Range: y≥0ory∣[0,∞) since square root of positive quantity is the right ans

[@karthikeyanam8533]

Answer domain = x belongs to( - infinity to 1) u (2 to infinity)

[@kashafhere6364]

Why not zero?? Domain can be zero as well as root zero= zero

[@ZahirKhan-121]

@@kashafhere6364 zero is included in (-infinity to 1]

[@Discoverskv]

underroot( x-1)(x-2) domain under root should be >=0 (×-1)(×-2)>=0 , when 1

[@ABHINAVPANDEY-rq4fe]

Domain = ( - infinte , 1] U [2 , infinte)

[@J.K8xarmy67]

hello sir ye fector kaise karte hain

[@enigma-tics7610]

Awesome video and very good and logical explanation sir. Keep going sir 🙏

[@omtiwari9173]

Domain(-infinity,1]U[0,infinity) Range-[0,infinity) 👍👍👍👍👍👍👍👍👍

[@ravirauniyar851]

(1,2) Domain and (-infinity , 0) range

[@namraaah271]

This channel is a blessing...

[@Economics_Masum]

Domain (1,infinity) Range(-infinity, 0)

[@manan1366]

The range should be greater than 0

[@farazaslam419]

How to take intersection and union of two intervals

[@mariakhan6090]

Subscribed ! Perfectly explained sir ! Thanks a lot

[@always.tanish_]

The domain of given f(x) is R - {1,2}

[@bharatbhushanbhushan4295]

Sir Why range is greater than 0 ... root gives both +ve and -ve values??

[@hritiknagar3219]

This is the same problem i am facing If we will put x as 0 root 9 will come and root 9=+3 and-3

[@AryanSingh-kk3kt]

@@letsclashit3647 why y is greater than 0

[@kumarrajiblovely4490]

This is video my shelf in very interested...... Thanks very much sir ... I am very interested you video Can you nex video upload sir....

[@History-Geopolitics47]

May u live long sir.. God bless u sir.!

[@HarshitSingh-rh6tb]

Domain will be from12

[@kanhaiyatiwari3902]

2 to infinity Union -infinity to 1

[@singamgowthamreddy7562]

domain is X€(-infinity,1] U [2,+infinity) Range is x€[0,1]U[2,+infinity)

[@vivekjain3425]

Sir, आपके पढ़ाने का तरीका बहुत अच्छा है। सारे Concept clear हो गए आपकी video देख कर । आपका बहुत बहुत धन्यवाद🙏🙏

[@worldwinnermritunjaymishra5681]

Mouh Ki bat dol di bhi

[@MusicSD23]

Domain = [ 1,2] sir please check correct or wrong and give some hint to solve and range of the question

[@dileswarpatra1813]

domain [1,2] range [0,infinite)

[@dragonwarrior8787]

Brother range kaise nikale ho?

[@Ujjwal_Agrahari.]

Sir u r great 👍 ur explainations are very logical thankyou for clearing all my doubts

[@utkalrajput9131]

Domain -(1,2)

[@0Sameergaming7860]

What is the answer of the question that you gave in last

[@shiva_gaming4997]

For domain: X€(-∞,1] union [2,-∞) For range [2,∞) Sir,, is it true ?

[@udaigupta2124]

VishvRaj Singh no range should be [0, infinity)

[@shiva_gaming4997]

Thanks sir

[@kishwatikkatikka8130]

Y kese ae ga mera ni ara

[@esnapeye7098]

8:20 why f(x) is always positive please explain, under-root can give either of the two values i.e positive number and negative number, thus f(x) can be both positive and negative, but he says f(x) is always positive??? A BIG HOW???!!

[@WWEFOREVERBELIEVE04]

Square root is generally +ve and Since it is a function so There can't be 2 outputs like -ve and +ve both so f(x) is taken +ve ... Hope you got it....

[@archanagupta7356]

Domain: (-infinity,1] U [2,infinity) Range: [0,infinity)

[@pankajsuthar1653]

Ye shi h shyad

[@kashafhere6364]

How u got? Can u explain in detail

[@deepikasingh9146]

Sir where are you living???

[@Wasim9280]

Absolutely right....I also solve it....

[@freakkk4400]

Its right

[@geetatomar7434]

Domain is(-infinity,1)union(1,2)union(2,infinity)

[@ArjunSingh-vp6ck]

- infinity kesa hoga Value to greater than 0 or equal to 0 honi chahiye And greater than 0 always positive real number hoga

[@hibye2270]

8:25... sir, agar hum x=0 lenge tho fir √(9-x²)=√9=-3 ab dekho -3 bi ho saktha hai na. par aap bole ki y≥0.. this is my doubt!

[@cardiographer8231]

Bhai f(x) real to real ke liye define hai √-3 is a complex no.

[@cardiographer8231]

@Music lovers bro y belong to {-3 to 3}-(ii) Ab y is greater than equal to 0-(i) Ab inn dono ka intersection hoga for right range

[@जयतुसंस्कृतम्जयतुभारतम्-र7र]

U r right that there -3 is not in range and absolutely it is not. But please took ur attention to the question where function is √9-x^2 and no negative sign is placed before root sign. Thus according to question only positive answers have to be taken.

[@yashshukla7593]

Bhai √9 ki value +3 hi hoti h,,,

[@meetbollywoodeditz]

X e [2,1] , 1 < x < 2 , sir please tell me is this correct or not ??

[@vanshika9845]

I got this answer too but I think its wrong

[@meetbollywoodeditz]

@@vanshika9845 i also want to know

[@pawandeepkaur9629]

Thank u sir I had one question find range of f(x) =(2-sin3x)/x And Find range of f(x)=x/(1+x^2)

[@b.k1358]

What is the domain of f(x)=(x+5)^4+1.

[@anushreerao7515]

Thankyou so much sir. You have made this concept so clear.

[@diyamahajan2766]

Domain is[1,2].and sir please tell what is the range of this question

[@satwikpal9258]

Sir how we decide that f(x) is greater , equal to or smaller than 0

[@cbsemathsforexambooster360]

Best explanation of domain and range so far

[@rachnasharma8828]

Domain-[1,2,infinity) Range-[0,infinity)

[@umra7069]

Kya hum is tarah solvenahi kar sakte ki x is defined for all values except √(9-x²)

[@ashishbinjola1386]

Thank you so much sir For this video

[@HarjotSingh-fh4tb]

At 8:45 why value of y will be always positive, because after taking underroot both positive and negative values are possible

[@dragonslayer7364]

Kyon ki kisi ka bhi underoot+ya 0 hi aa skata hai

[@ratneshsrivastav5341]

Domain R-[2,1]

[@AkashPawar-zp1oj]

Galat hai. 2 aur 1 se bhi answer aa raha hai.

[@anshupriya4902]

Nice video sir... Very well explanation

[@yashmishra5065]

How many people are seeing this before 1 day of exam...😂😂 👇 👇

[@devdixitdixit123]

very very thank you sir

[@pkyadav-jf8jx]

Domain-[1 2]

[@anjanijha961]

Sir,please make more videos 🙏🙏🙏

[@kapilrabha9043]

Very Good explanation.👌🏻👌🏻👌🏻.

[@Shergill2525]

Sir plz reply when x=0...y=root 9=±3. At x=0 a real number the value of y can be -3

[@sanjaynath3495]

Domain 1,2. ......... Range 0,infinity

[@kashafhere6364]

How?? Domain can be less than or equal to zero also. Ultimately domain will be R And range=R

[@kashafhere6364]

@RBSir please tell the correct answer

[@Biomaths247]

@@kashafhere6364 put x=3/2 you will get the correct ans

[@ATTITUDEBOY-sk3ip]

Yes yes my domain is also 1,2 but I am unable to find out the range

[@n.rgangwar2219]

Ha yr... Mujhe bhi dikkat ho rahi hai

[@AmanKumar-uy6kx]

Sir root me hai y ka +-dono me value nikalega y equal to 3 -3 bhi agar x=0 to ye function kaise hua

[@hatiteja3934]

Domain=(-infinity,1] U [2,infinity) Range=[0,infinity)

[@bebobaral5812]

Range kaise nikla

[@thetechblast5509]

How to calculate range

[@firebout7675]

Yep, range kaise nikla??

[@Drsti_Yt]

Thanku sir, domain -infinity to 1 to 2 to+infinity of sum f(x) =√x^2-3x+2 and range of this sum is according to my solution is√2 to√2+3, sir please tell this solution is right or wrong if wrong then please tell us what is the correct Answer

[@firebout7675]

Domain : (-§, 1]U[2,§) Sahi h sir??? And how to calculate range??

[@aratliaccio444]

fully understand ! NO teacher didnt made me understand this question on youtube

[@ahsanjamali8772]

Domain is ×€[1, +infinity ]

[@ashishnagar3714]

Our man

[@rohitsinghrajput2957]

Domain-[1, infinitive) 😉😉💞

[@gaomikado7464]

I love the way you teach 😊😊 Thank you sir🙏🙏

[@FahadKhan-tm4os]

Domain : (-∞,1] U [2,∞) Range: [0,∞)

[@Vloggg_on]

Bhai to hum isko (- infinity se infinity)tak domain likh sakte hai ki nhi

[@atulyadasnayak7472]

@@Vloggg_on han bro

[@King1185]

domain=R-{2,1} hope this answer was correct

[@rameshbudha45]

domain=( - infinity, 1] U [ 2, +infinity) RANGE= [0, +INFINITY)

[@tarunkumarmishra5071]

Smoothly explained

[@AmitSingh-lz9sp]

(-infinite ,1) (2 , infinity) or Range (0 , 2)

[@manishsoni2263]

Thanks for solving our doubts ☺️☺️

[@sanjumishra9331]

Range will be [0, infinite)

[@aniket_20.05]

Can you tell me please how do you find Range

[@Shergill2525]

@@aniket_20.05 wrong

[@Shergill2525]

Wrong

[@IMMORTAL7653]

Sir Domain is [1,2] Range= [0,+✓2]

[@funfacts6983]

(-00,1)U(2,oo) it is correct

[@meghanaparida1973]

Yeah

[@funfacts6983]

@@meghanaparida1973 ✌

[@supertv617]

Domain - ( - infinity , 1] U [2,infinity) Range - [0, infinity ).

[@dragonwarrior8787]

Brother range kaise nikale ho ?

[@supertv617]

@@dragonwarrior8787 range :y>=0 Or y= [0,infinity) because square root of a positive quantity is also positive .