Home
Class 12
MATHS
If f(x) = sqrt ""[ cos ( sin x) ] +...

If f(x) ` = sqrt ""[ cos ( sin x) ] + sin^(-1) ((x^2 +1)/(2x)) + (1)/(1-x)` then the domain of x is

A

`{-1,1}`

B

`(1,oo)`

C

`R-{1}`

D

`{-1}`

Text Solution

Verified by Experts

The correct Answer is:
D
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 f(x)=sin log((sqrt(4-x^(2)))/(1-x)) , then the domain of f(x) is ….

If f(x)=sin^-1((3x^2+x-1)/(x-1)^2)+cos^-1((x-1)/(x+1)) then the domain of f(x) is

Find the domain of the following functions: (i) f(x) = (1)/(sqrt(|x| -x)) (ii) f(x) = sqrt(cos (sin x)) + sin^(-1) ((1 + x^(2))/(2x)) (iii) (1)/(log_(10) (1-x)) + sqrt(x + 2)

If f(x)=sqrt(4-x^(2))+(1)/(sqrt((|sin x|)-sin x)) then the domain of f(x) is

The function f(x)=sqrt(cos(sin x))+sin^(-1)((1+x^(2))/(2x)) is defined for:

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

If f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2)) , then

f(x)=sin^(-1)((3-2x)/5)+sqrt(3-x) .Find the domain of f(x).

The domain of f(x)=sin^(-1)((1+x^(2))/(2x))+sqrt(1-x^(2)) is

ML KHANNA-FUNCTIONS-PROBLEM SET (3)
  1. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |