Home
Class 12
MATHS
The domain of the function f(x) =(1)/...

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

A

`(0,infty)`

B

`(-infty, 0 )`

C

`(- infty, infty) - {0}`

D

`(- infty , infty) `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 1|60 Videos

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

The domain of the function f(x)=(1)/(sqrt(|sin x|+sin x)) is

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

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

The domain of the function f(x)=(1)/(sqrt(log_(10)x)) is

find the domain of the given function f(x)=(1)/(sqrt(x+|x|))

DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 2
  1. The domain of the function f(x) =(1)/(sqrt(|x|-x)), is

    Text Solution

    |

  2. If A {1,2}, B = {1,3}, " then " (A xx B)cup (B xx A) is equal to

    Text Solution

    |

  3. Which of the following relation is NOT a function ?

    Text Solution

    |

  4. The range of the function f(x)=(e^x-e^(|x|))/(e^x+e^(|x|)) is (-oo,oo)...

    Text Solution

    |

  5. Let X={1,2,3,4,5} and Y={1,3,5,7,9}. Which of the following is not a r...

    Text Solution

    |

  6. Find the domain of f(x)=sqrt((0. 625)^(4-3x)-(1. 6)^(x(x+8)))

    Text Solution

    |

  7. Let f(x)=x/(1-x) and let alpha be a real number. If x0=alpha, x1=f(x...

    Text Solution

    |

  8. The domain and range of the relation R given by R = {(x, y) : y = x...

    Text Solution

    |

  9. Find the range of f(x)=sgn(x^2-2x+3)dot

    Text Solution

    |

  10. The domain of definition of the function y(x) is given by the equation...

    Text Solution

    |

  11. A, B and C are three different sets and Axx(BcapC)=(A xxB)cap(AxxC). J...

    Text Solution

    |

  12. Let f be a function on R given by f(x) = x^(2) and let E = {x in R: - ...

    Text Solution

    |

  13. Let f(x)=x/(1+x^2) and g(x)=(e^-x)/(1+[x]), where [x] is the greatest ...

    Text Solution

    |

  14. The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b)...

    Text Solution

    |

  15. Let f (x) = [x], where [x] denotes the greatest integer less than or e...

    Text Solution

    |

  16. Define relations R(1) and R(2) on set A = [2,3,5,7,10] as xR(1)y is 2x...

    Text Solution

    |

  17. A relation R is defined in the set Z of integers as follows (x, y ) in...

    Text Solution

    |

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

    Text Solution

    |

  19. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

    Text Solution

    |

  20. the value of the function f(x)=(x^2-3x+2)/(x^2+x-6) lies in the inter...

    Text Solution

    |

  21. The domain of f (x) = log (|x - 2 | - 2 | - 1) is

    Text Solution

    |