## Vineet Loomba is teaching live on Unacademy Plus

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

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 !!

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)

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)

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)

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)

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)

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)

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 !!