Home
Class 11
MATHS
Domian of f(x)=1/sqrt(x+|x|) is...

Domian of `f(x)=1/sqrt(x+|x|)` is

A

`[0, infty)`

B

`(0, infty)`

C

`(-infty, infty)`

D

`(-infty, 0)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos

  • PROBABILITY

    JBD PUBLICATION|Exercise EXAMPLE|71 Videos

  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos

Similar Questions

Explore conceptually related problems

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

Find the domain of the following function : f(x)= 1/(sqrt(|x|-x)) .

Find the range of f(x) = sqrt( x- 1) + sqrt(5 - x) .

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

Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

Find the domain of f(x)=sqrt(1-sqrt(1-sqrt(1-x^2)))

The exhaustive domain of f(x)=sqrt(x^(12)-x^9+x^4-x+1) is

The range of the function f(x)=sqrt(x-1)+2sqrt(3-x) is

The domain of f(x)=sqrt(sin^(-1)(3x-4x^(3)))+sqrt(cos^(-1)x) is equal to

JBD PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Domian of f(x)=1/sqrt(x+|x|) is

    Text Solution

    |

  2. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

    Text Solution

    |

  3. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)c...

    Text Solution

    |

  4. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(B-C)=(AxxB)-(A...

    Text Solution

    |

  5. Let A={2,3}, B={1,2,3,4}. Verify that AxxA=(AxxB)cap(BxxA).

    Text Solution

    |

  6. Find the domain of the function:f(x)=(x^2-3x+2)/(x^2+x-6)

    Text Solution

    |

  7. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

    Text Solution

    |

  8. Find the range of the following functions: f(x)=1+3 cos2x

    Text Solution

    |

  9. Find the range of the following functions: f(x)=1-|x-2|

    Text Solution

    |

  10. Find the range of the following functions: f(x)=3/(2-x^2).

    Text Solution

    |

  11. Find the domain and range of the following real function:- f(x) = -|x...

    Text Solution

    |

  12. Find the domain and range of the following functions: f(x)=sqrt(16-x^2...

    Text Solution

    |

  13. Find the domain and range of the following functions: f(x)=sqrt(x-3)

    Text Solution

    |

  14. Find the domain and range of the following functions: f(x)=|x-3|

    Text Solution

    |

  15. If f(x)=(x-1)/(x+1), then show that f(1/x)=-f(x)

    Text Solution

    |

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

    Text Solution

    |

  17. Domian of f(x)=1/sqrt(x+|x|) is

    Text Solution

    |

  18. Find the domain of each of the following functions: x|x|

    Text Solution

    |

  19. Find the domain of each of the following functions: (x^3-x+3)/(x^2-1)

    Text Solution

    |

  20. Find the domain of f(x)=1/sqrt(1-cosx)

    Text Solution

    |

  21. Find the range of f(x)=1-|x-2|.

    Text Solution

    |