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Relations and Functions

JEE Main 2024 (Online) 30th January Morning ShiftMCQEasy📈 Topic in 31% papers+4−1
Ques. 1JEE Main 2024, 30 January (Morning Shift)

If the domain of the function f(x)= -1 ( 2-|x|4 )+ \ e(3-x) \-1 is [- , )-\ \, then + + is equal to :

  1. 11
  2. 12
  3. 9
  4. 8

Answer

(1) 11

Solution

-1: -1 2-|x|4 1 -2 |x| 6 x [-6, 6]

e(3-x): 3-x>0 x<3

\ e(3-x)\-1: e(3-x) 0 3-x 1 x 2

domain =[-6, 3)-\2\ =6, =3, =2

+ + =11

Answer: (1)

Keep practising — Relations and Functions

Ques. 2JEE Main 2024, 30 January (Evening Shift)

If the domain of the function f(x)= e ( 2 x+34 x2+x-3 )+ -1 ( 2 x-1x+2 ) is ( , ], then the value of 5 -4 is equal to

  1. 9
  2. 12
  3. 11
  4. 10

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All JEE Main Mathematics chapters
Class 11SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsPermutations and CombinationsBinomial TheoremSequences and SeriesStraight LinesConic SectionsIntroduction to Three Dimensional GeometryLimits and DerivativesStatisticsProbability
Class 12Relations and Functions (Class 12)Inverse Trigonometric FunctionsMatricesDeterminantsContinuity and DifferentiabilityApplication of DerivativesIntegralsApplication of IntegralsDifferential EquationsVector AlgebraThree Dimensional GeometryProbability (Class 12)