Home
Class 12
MATHS
If y= 2^(-x) + cos^(-1) (x/2 -1) + lo...

If ` y= 2^(-x) + cos^(-1) (x/2 -1) + log sqrt(x-[x]) `, then its domain is given by

A

`(0,4)-{1}`

B

`(0,4)-{1,2}`

C

`(0,4)-{1,2,3}`

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

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

If f(x)=sin log((sqrt(4-x^(2)))/(1-x)) , then the domain of f(x) is ….

The domain of cos^-1 ((x-3)/2)-log_10(4-x) is

If f(x)=sin log_(e){(sqrt(4-x^(2)))/(1-x)}, then the domain of f(x) is and its range is

y=sqrt(x^(2)-3x+2)+(1)/(sqrt(3+2x-x^(2))) find the domain =?

find domain of y=cos^(-1)((2x+1)/(2sqrt(2x)))

ML KHANNA-FUNCTIONS-PROBLEM SET (3)
  1. The function f (x) =cot^(-1) (sqrt((x+3) x)) + cos^(-1) (sqrt(x^2 +3x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The domain of the function f (x) = sqrt""(2-2x-x^2) is

    Text Solution

    |

  13. f(x) = sqrt([((x + 1) (x-3))/((x-2))] is a real valued function in the...

    Text Solution

    |

  14. The domain of the function sqrt(x^2 - 5x +6 ) + sqrt(2x + 8- x^2) ...

    Text Solution

    |

  15. The domain of the real valued function sqrt((x+2) (5-x) ) - (1)/( s...

    Text Solution

    |

  16. The domain of definition of f(x) = sqrt((1-|x|)/(2-|x|)) is

    Text Solution

    |

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

    Text Solution

    |

  18. Given f (x) =(1)/( sqrt"" (|x| -x)) , g (x) = (1)/( sqrt""(x-|x|)) t...

    Text Solution

    |

  19. The domain of the function f (x) =sqrt(x- sqrt(1-x^2)) is

    Text Solution

    |

  20. The domain of the function sqrt(x^2 - [x]^2), where [x] has the usual ...

    Text Solution

    |