Home
Class 11
MATHS
f(x)= 1/([sqrt(|x|-x)]). Domain of the f...

`f(x)= 1/([sqrt(|x|-x)])`. Domain of the function is :

A

`(-oo,0]`

B

`(-oo,0)`

C

`(0,oo)`

D

`[0,oo)`.

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 sin^-1 x + cos x is

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

f(x)= 1/sqrt([x]-x) , where [*] denotes the greatest integeral function less than or equals to x. Then, find the domain of f(x).

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

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

Domain of the function f(x)=sin^(-1)x is equal to

Consider a real-valued function f(x)= sqrt(sin^-1 x + 2) + sqrt(1 – sin^-1x) then The domain of definition of f(x) is

f(x)=sqrt(1-x^(2)), g(x)=sqrt(1-x)*sqrt(1+x) . Identical functions or not?

What is the domain of the function f(x) = cos^-1 x + sec^-1 x ?

Domain of the function f (x) = cos^-1 x is equal to :

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Two finite sets A and B have m and n elements respectively. If the tot...

    Text Solution

    |

  2. If f (x) satisfies the relation : 2 f(x) +f (1 -x) = x^2 for all real ...

    Text Solution

    |

  3. f(x)= 1/([sqrt(|x|-x)]). Domain of the function is :

    Text Solution

    |

  4. Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for s...

    Text Solution

    |

  5. If S is a set with 10 elements and A={(x,y): x,y in S,x ne y}, then th...

    Text Solution

    |

  6. If A and B are subsets of a set X, then what is : (A nn (X -B))uu B eq...

    Text Solution

    |

  7. If V = {x: x+2=0} R= {x: x^2+2x =0} S= {x: x^2+x-2=0}. then for what ...

    Text Solution

    |

  8. What is the total number of proper subsets of a set containing n eleme...

    Text Solution

    |

  9. Which one of the following is correct?

    Text Solution

    |

  10. Let R = {x|x in N, x is a multiple of 3 and xle100} S= {x|x in N, x is...

    Text Solution

    |

  11. If X and Y are two non-empty sets, then what is (X - Y)' equal to

    Text Solution

    |

  12. If A, B and C are three finite sets, then what is , [(A uu B) nn C]' e...

    Text Solution

    |

  13. The total number of subsets of a finite set A has 56 more elements the...

    Text Solution

    |

  14. Out of a group of 20 teachers in a school, 10 teach Mathematics, 9 tea...

    Text Solution

    |

  15. Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions...

    Text Solution

    |

  16. The domain of sin^-1 [log3 (x//3)] is :

    Text Solution

    |

  17. Find the period of f(x)=sin^(4)x+cos^(4)x.

    Text Solution

    |

  18. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (...

    Text Solution

    |

  19. Let R = {(1, 3), (4, 2), (2, 4), (2, 3) (3, 1)} be a a relation on the...

    Text Solution

    |

  20. If f : R rarr S, defined by : f(x) = sin x-sqrt3 cosx+1 is onto , then...

    Text Solution

    |