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π₯ Summarizing Domain of a Function (IIT-JEE)
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This lesson explains the concepts of Domain of a function from JEE Main and Advanced point of view.

## Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 4 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

U
thanks a lot sir... these pyq analysis are very helpful :)
sir wo root sin x -root 16-x^2 ka last step samaj nhi aa rha hai
wo [-4, pie]U[0,pie] kaise hua
Faiz Ahmed
4 months ago
shrayansh..draw on number line..n ki value kewal integer ho skti h..-1 aur 0
sir Maine wavey curve method ki video Dekhi lekin usme sin ka wavey curve method nhi hai toh abh Kya karu?
Vineet Loomba
10 months ago
kaunsa sin ka wavy curve method ? what is that ?
Manas Sharma
10 months ago
video me
Manas Sharma
10 months ago
sin ki domain find krna by wavey curve method
Manas Sharma
10 months ago
@4:35(video time)
Vineet Loomba
10 months ago
wo toh range domain ka part hai ...sinx ko t assume krle aur solve krle jaise wavy curve method mein krte h
Manas Sharma
10 months ago
oh okay sir thank you
sir wavy curve method pe vedio plz ππ
Vineet Loomba
7 months ago
There are 3 parts in this course ..pls check the list
Siddharth Kumar
7 months ago
okk thx sir
Sir how to take intersection of [2nΟ , (2n+1)Ο] and [-4,4] ?
Vineet Loomba
a year ago
common portion nikalna hai ... n ki value substitute krke ...its difficult to explain here in comments
All Is well
a year ago
Sir ye to meri bi samajh night nhi aya....
All Is well
a year ago
Sir ye to meri bi samajh night nhi aya....
Taruna gupta
a year ago
sir I also can't understand this step
Taruna gupta
a year ago
sir I also can't understand this step
Suchita Sonal
10 months ago
yes, sir pls tell ??
me bhi nahi samaj paaya how to take intersection
Rohit Choudhary
7 months ago
How to take intersection??
Rudra shukla
5 months ago
yes, sir plz tell on video
Sj
Sanyam jain
4 months ago
mujhe bhi samajh nhi aaya sir
Sj
Sanyam jain
4 months ago
Sj
Sanyam jain
4 months ago
Ravi
3 months ago
Those who didn't understand the intersection part ( root sin x -root 16-x^2 ) should Watch this video LINK : https://doubtnut.com/question-answer/find-the-domain-of-fxsqrtsinx-sqrt16-x2-27660
JS
Jeevan Singh
3 days ago
sir logarithmic inequalities
1. IIT-JEE CRASH COURSE FOR SURE SHOT SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Search vineet loomba unacademy" on GOOGLE IIT-JEE MATHS REVISION COURSE PREPARED BY: ER. VINEET LOOMBA IITian | IIT-JEE MENtOR

2. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B.Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. Doubts/Feedback in Comment Section. Comment other topics you want to revise. Follow me @ https://unacademy.com/user/vineetloomba to get updates. Share among your peers as SHARING is CARING !!

3. SETS, RELATIONS, FUNCTIONS #DOMAIN OF A FUNCTION IIT-JEE MATHS REVISION COURSE PREPARED BY: ER. VINEET LOOMBA IITiAN | IIT-JEE MENTOR FoR SURE SHoT SUcCESS IN JEE MAIN AND ADVANCED (IIT-JEE)

4. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) DOMAIN The set of values of x for which y takes real values (so that the function is well defined) is known as the domain for that function. Let f: A B, then the set A is known as the domain off & the set B is known as co-domain of f. The set of f images of all the elements of A is known as the range of f MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

5. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) Example: Find the domain of function f(x) = VX2-5 Solution: f(x) - vx2-5 is real iff x2-520 the domain off is (-00,- /5 ] '/5 , 0) MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

6. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) f(x)sinx 16- x2 V16-x2 is real iff 16-P20.4sxs4 Thus the domain of the given function is MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

7. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) 3 f(x) - 4- 2 log(x8-x) V4-X Domain of V4-X is [-2, 2] but V4_X-0 for x = 2 x e (-2, 2) 1)> 0 log(x3 - x) is defined for x3 - x > 0 i.e. x(x 1)(x .:. domain of log(x3- x) is (-1,0)u (1, oo). Hence the domain of the given function is MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

8. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) y=logo-4) (x2-11x + 24) (x-4) Here 'y' would assume real value if, x-4>0and 1, x2-11x + 24 0 x 8 Domain (y) = (8, ) MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

9. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B.Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. Doubts/Feedback in Comment Section. Comment other topics you want to revise. Follow me @ https://unacademy.com/user/vineetloomba to get updates. Share among your peers as SHARING is CARING !!