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

The domain of the function `f(x)=1/(sqrt([x]^2-2[x]-8))` is, where [*] denotes greatest integer function

A

`(-2, 5]`

B

`(-2,5)`

C

`(-oo,-2)uu[5,oo)`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise-2(a)|25 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2(b)|14 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Frequently Asked Questions|17 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

The domain of definition of the function f(x)=(1)/(sqrt(x-[x])), where [.] denotes the greatest integer function,is:

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)

The domain of the function f(x)= ln([[x]]/(5-[x])) where [ . ] denotes the greatest integer function is

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

The domain of the function f(x)=([x+3]-x)/([x-5](x-[x])) is (where [ ] is the greatest integer function

The function f (x)=[sqrt(1-sqrt(1-x ^(2)))], (where [.] denotes greatest integer function):

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. For the relation y= + sqrtx, say whether it is a function or not. If i...

    Text Solution

    |

  2. Find the domain and range of the following functions: (i) f(x) = sqr...

    Text Solution

    |

  3. The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] d...

    Text Solution

    |

  4. Find the domain of the function f(x) = (x^(2) + 2x +1)/(x^(2) - 8x +12...

    Text Solution

    |

  5. Find the range of the following function: f(x) = (1)/((2x-3) (x+1))

    Text Solution

    |

  6. Find the domain of the function: f(x) = (x^(2) + 3x+5)/(x^(2) -5x+4)

    Text Solution

    |

  7. Which of the following functions are odd or even or neither: (i) f(x...

    Text Solution

    |

  8. The period of x-[x] where [x] represents the integral part of x is

    Text Solution

    |

  9. Solve: [2x-3]=5

    Text Solution

    |

  10. Let f and g be two functions defined by: f(x) = sqrt(x-1) and g(x) = s...

    Text Solution

    |

  11. The domain of the function f(x)=(sin^(-1)x)/([x]) is (where is greates...

    Text Solution

    |

  12. Define the function f : R -> R by y = f(x) = x^2 , x in R . ...

    Text Solution

    |

  13. Draw the graph of the function: f: R rarr R defined by f(x) = x^(3), x...

    Text Solution

    |

  14. Let R be the set of real numbers. Define a real function f: R rarr R "...

    Text Solution

    |

  15. फलन f, f(x) = {(1-x"," x lt 0),(1","x = 0),(x +1"," x gt 0):} द्वारा प...

    Text Solution

    |

  16. Draw the graph of the function: 1-x

    Text Solution

    |

  17. Draw the graph of the function: f(x) = {(x," if " x le 0),(x^(2)," if ...

    Text Solution

    |

  18. Draw the graph of the function: f(x) = |1-x| + |1+x|, -2 le x le 2

    Text Solution

    |

  19. If A= {2,4,6,9} and B= {4,6,18, 27, 54}, a in A, b in B, find the set ...

    Text Solution

    |

  20. Find the domain and range of the function f given by f(x) = x^2/(1...

    Text Solution

    |