Home
Class 12
MATHS
The domain of definition of the function...

The domain of definition of the function `f(x)=sin^(-1)((4)/(3+2 cos x))`, is

A

`[-(pi)/(3) , (pi)/(3)]`

B

`[(pi)/(6) , (2 pi)/(3)]`

C

` [(pi)/(3),(4 pi)/(3)]`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (4) |43 Videos
  • FUNCTIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES )|4 Videos
  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (2) |40 Videos
  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos
  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (3) FILL IN THE BLANKS|9 Videos

Similar Questions

Explore conceptually related problems

The domain of definition of the function f(x)= sin^(-1) (|(x-1)|-2) is

The domain of definition of the functions f(x-[x]) , is

Statement-1: The domain of definition of the function f(x)=e^(2x)+cos^(-1)((x)/(2)-1) , is (0,1) cup (1,2) cup (2,3) cup (3,4) Statement:- The domain of cos^(-1)""((x)/(2)-1) is [0,4] .

The domain of definition of the function f(x)=7-xp_(x-3), is

The domain of definition of the function f(x)= sin^(-1){log_(2)((x^(2))/(2))} , is

The domain of definition of the function f(x)=tan((pi)/([x+2])) , is

The domain of definition of the function f(x)=(1)/(sqrt(|x|-x)) is

The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-log_(10)(4-x) , is

The domain of the definition of the function f(x)=sin^(-1)((|x|-5)/(2))+[log_(10)(6-x)]^(-1) is

ML KHANNA-FUNCTIONS-PROBLEM SET (3)
  1. The domain of the function f(x)=sin^(-1)("log"(2)(x^(2))/(2)) is given...

    Text Solution

    |

  2. Domain of the function sin^-1(3/(4+2sin x )) is

    Text Solution

    |

  3. The domain of definition of the function f(x)=sin^(-1)((4)/(3+2 cos x)...

    Text Solution

    |

  4. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

    Text Solution

    |

  5. The domain off (x) = sqrt""(cos(sin x)] + sin^(-1) ((x^2 +1)/( 2x)) ...

    Text Solution

    |

  6. If f(x) = sqrt ""[ cos ( sin x) ] + sin^(-1) ((x^2 +1)/(2x)) + (...

    Text Solution

    |

  7. If f(x)=cos^(-1)((2-|x|)/(4))+[log(10)(3-x)]^(-1), then its domain is

    Text Solution

    |

  8. If y =sin^(-1) [(x-1)/(x+1)] +log (2-x), then its domain is :

    Text Solution

    |

  9. The domain of definition of the function, f (x) = (1 - 3x)^(1//3) + 3 ...

    Text Solution

    |

  10. The function f (x) =cot^(-1) (sqrt((x+3) x)) + cos^(-1) (sqrt(x^2 +3x...

    Text Solution

    |

  11. The function f (x) =( sec^(-1) x)/( sqrt(x-[x])) where [x] denotes the...

    Text Solution

    |

  12. If y= 2^(-x) + cos^(-1) (x/2 -1) + log sqrt(x-[x]) , then its d...

    Text Solution

    |

  13. If y= (sqrt(x^2 -4))/(cos^(-1) (2-x)) then the domain of y is

    Text Solution

    |

  14. The domain of the function f (x)=–(sqrt(4-x^2))/(sin^(-1) (2-x)) is

    Text Solution

    |

  15. The domain of definition of the function f (x) = sin^(-1) ((x-3)//(...

    Text Solution

    |

  16. The domain of the function f(x) = sqrt(3-2^x -2^(1-x) ) + sqrt(...

    Text Solution

    |

  17. sqrt( sin^(-1) ( log2 x ) exists for

    Text Solution

    |

  18. The natural domain of, sqrt(sin^(-1) (2x) + (pi)/(6) ) for all x in ...

    Text Solution

    |

  19. The domain of definition of the function y (x) given by the equation 2...

    Text Solution

    |

  20. Domain of cos^(-1) [2x^2 - 3], where [**] denotes the greatest integ...

    Text Solution

    |