Home
Class 12
MATHS
The natural domain of the function sqrt(...

The natural domain of the function `sqrt(sin^(-1)(2x)+(pi)/(6)),x inR` is :

A

`[-(1)(4), (1)/(2)]`

B

`[-(1)(4), (1)/(4)]`

C

`[-(1)(2), (1)/(2)]`

D

`[-(1)(2), (1)/(4)]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

The domain of the function y=sin ^(-1)(-x^(2)) is

The domain of the function cos ^(-1)(2 x-1) is

The domain of the function sin^(-1) sqrt(x-1) is :

The domain of the function f(x)=sqrt(cos x) is

The domain of the function f(x)=sqrt(cosx) is :

Domain of the function , f(x) = sqrt(sin^(-1) (log_2 x)) is

The domain of the function y=sqrt(x-2)+sqrt(1-x) is

The domain of the function f(x)=sqrt((1-|x|)/(2-|x|)) is :

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

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Domain of sin ^(-1)((2 x+1)/(3)) is

    Text Solution

    |

  2. Range of the function f(x)=(x^(2)+x+2)/(x^(2)+x+1),x inR is :

    Text Solution

    |

  3. The natural domain of the function sqrt(sin^(-1)(2x)+(pi)/(6)),x inR i...

    Text Solution

    |

  4. Domain of definition of the function : f(x)=(3)/(4-x^2)+log(10)(x^(3)-...

    Text Solution

    |

  5. The range of the function : f(x)=""^(7-x)P(x-3) is :

    Text Solution

    |

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

    Text Solution

    |

  7. Which of the following functions is an even function :

    Text Solution

    |

  8. If the real valued function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is even th...

    Text Solution

    |

  9. If f(x) is an odd periodic function with period 2 then f(4)=

    Text Solution

    |

  10. The function f: X rarr Y defined by f(x)=sin x is one-one but not onto...

    Text Solution

    |

  11. Let the function g:(-oo, oo) to (-(pi)/(2), (pi)/(2)) be given by g(u)...

    Text Solution

    |

  12. Let X and Y be subsets of R, the set of all real numbers. The function...

    Text Solution

    |

  13. Function f: R rarr R, defined by f(x)=x^(2)+x is

    Text Solution

    |

  14. Which one of the following is the bijective function on the set of rea...

    Text Solution

    |

  15. Which of the following functions is not periodic ?

    Text Solution

    |

  16. If f(x)=log ((1+x)/(1-x)), then

    Text Solution

    |

  17. Let function f:RtoR be defined by f(x)=2x+sinx for x inR. Then f is :

    Text Solution

    |

  18. A function f:[0,oo)to[0,oo) defined as f(x)=(x)/(1+x) is :

    Text Solution

    |

  19. The function f(x)=log(x+sqrt(x^(2)+1)) is :

    Text Solution

    |

  20. A function f from the set of natural numbers to integers defined by : ...

    Text Solution

    |