Home
Class 11
MATHS
The domain of the function f(x) = 1/(sqr...

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

A

`(-oo,oo)`

B

`(0,oo)`

C

`(-oo,0)`

D

`(-oo,oo)-{0}`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=1/(sqrt(4x=|x^2-10 x+9})) is (7-sqrt(40),7+sqrt(40)) (0,7+sqrt(40)) (7-sqrt(40),oo) (d) none of these

What is the domain of the function f(x) = 1/(x-2)

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

The domain of the function f(x)=log_(10)(sqrt(x-4)+sqrt(6-x)) is

The domain of the function f(x)=(x^2+2x+1)/(x^2-x-6) is:

The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , is

What is the domain of the function f(X) = (1)/(x-1) ?

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

Find the domain of the function : f(x)=1/(sqrt((log)_(1/2)(x^2-7x+13)))

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Consider the following relations: R = {(x, y) | x, y are real numbers ...

    Text Solution

    |

  2. Let S={1, 2, 3,4}. The total number of unordered pairs of disjoint sub...

    Text Solution

    |

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

    Text Solution

    |

  4. Let P = {theta: sin theta- cos theta= sqrt2 cos theta} and Q= {theta: ...

    Text Solution

    |

  5. Let f(x)=x^2a n dg(x)=sinx for all x in R Then the set of all x satis...

    Text Solution

    |

  6. In a town of 10,000 families, it was found that 40% families buy newsp...

    Text Solution

    |

  7. In a town of 10000 families, it was found that 40% families buy newspa...

    Text Solution

    |

  8. In a town of 10000 families, it was found that 40% families buy newspa...

    Text Solution

    |

  9. In a town of 10,000 families, it was found that 40% families buy newsp...

    Text Solution

    |

  10. Given A = {x: pi/6 le x le pi/3} and f (x) = cos x -x(1 + x), find f (...

    Text Solution

    |

  11. Prove that f (x) =x-[x], where [x] denotes the integral part of x not ...

    Text Solution

    |

  12. Find the domain of the function f(x)= ([x]+1)/([x]-1), where [x] denot...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the domain of the following function : f(x)= sqrt(cos(sinx))+ s...

    Text Solution

    |

  15. Find the domain of the following : f(x) = 1/(log10(1-x))+ sqrt (x+2)...

    Text Solution

    |

  16. Find the domain and range of the following function : f(x) =1 /(sqrt...

    Text Solution

    |

  17. Find the domain and range of the following function : f(x) = sin (lo...

    Text Solution

    |

  18. Find the domain of definition of the function f (x) given by : f(x) = ...

    Text Solution

    |

  19. Find the natural number a for which sum(k=1)^(n)f(a+k)=16(2^(n)-1), wh...

    Text Solution

    |

  20. A function f : R rarr R, where R is the set of real numbers, is define...

    Text Solution

    |