Home
Class 12
MATHS
Find the domain and range of the functio...

Find the domain and range of the function
`f(x) = (sqrt(x + 4) - 3)/(x - 5)`

Text Solution

Verified by Experts

The correct Answer is:
`[-4, oo)- {5}, (0, 1/6 uu (1/6, 1/3]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    MOTION|Exercise Exercise - 4 Level-I|10 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-II)|6 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

Similar Questions

Explore conceptually related problems

Find the domain and range of the function f(x) = sqrt(x-1)

Find the domain and range of the function f(x)=sqrt(x-5) .

Find the domain and range of the function f(x) = |x-3|

Find the domain and range of the function f(x)=(1)/sqrt(x-5)

Find the domain and range of the function f(x) = sqrt(16 - x^(2))

Find the domain and range of real function , f(x)=sqrt(x^2 +4)

Find the domain and range of the function f(x) = x/(2 - 3x)

Find the domain and range of the function f(x)=(x)/(|x|)

Write the domain and range of the function f(x)=[x]

Find the domain and range of the function f(x) = sqrt(2 - x) + sqrt(1 + x)

MOTION-FUNCTION-Exercise - 3
  1. Find the range of the following functions: (where {.} and [.] represe...

    Text Solution

    |

  2. Find the domain and range of the function f(x) = sqrt(2 - x) + sqrt(...

    Text Solution

    |

  3. Find the domain and range of the function f(x) = (sqrt(x + 4) - 3)/(...

    Text Solution

    |

  4. Find the range of the function g(x)=(x^2+2x+3)/x.

    Text Solution

    |

  5. Find the Range of function f(x) = (x- [x])/(1 - [x] + x) , [.] = G.I...

    Text Solution

    |

  6. Find the Range of function f(x) = log(e) (3x^(2) - 4 x + 5) is :

    Text Solution

    |

  7. Find the Range of function f(x) = [|sin x| + |cosx |] , where [.] de...

    Text Solution

    |

  8. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  9. Check whether pairs of function are identical or not ? f(x) = sec (...

    Text Solution

    |

  10. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  11. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  12. Mark the graph of the function f(x) = ||x| - 3|

    Text Solution

    |

  13. Draw the graph of the function: f(x)="sin"|x|

    Text Solution

    |

  14. Mark the graph of the function f(x) = [|x|]

    Text Solution

    |

  15. Mark the graph of the function f(x) = |{x}|

    Text Solution

    |

  16. Mark the graph of the function f(x) = 3 sin (X - (pi)/(3))

    Text Solution

    |

  17. Mark the graph of the function f (x) = (x^(8))/(x)

    Text Solution

    |

  18. Mark the graph of the function f(x) = x + sin x

    Text Solution

    |

  19. Mark the graph of the function f (x) = 3e^(x + 5) - 7

    Text Solution

    |

  20. Mark the graph of the function f(x) = |sin x| + |cos x|

    Text Solution

    |