Home
Class 12
MATHS
Find the domain of definitions of each o...

Find the domain of definitions of each of the following functions :
`f(x)=(x+2)/sqrt(x^2-x-2)`

Text Solution

Verified by Experts

The correct Answer is:
`{x:x inRRand x gt2 or xlt-1}`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple Correct answer Type|5 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos
  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Find the domain of definition of each of the following functions : f(x)=(1)/sqrt(x+[x])

Find the domain of definitions of each of the following functions : (x^2)/(1+x^2)

Find the domain of definitions of each of the following functions : sqrt(6-x)

Find the domain of definition of each of the following functions : g(x)=(1)/sqrt(x-|x|)

Find the domain of definitions of each of the following functions : log_(10)x

Find the domain of definitions of each of the following functions : sin^(-1)2x

Find the domain of definitions of each of the following functions : sqrt(2+x-x^2)

Find the domain of definitions of each of the following functions : f(x)=cos^(-1)2x

Find the domain of definitions of each of the following functions : sqrt(12-x-x^2)

Find the domain of definitions of each of the following functions : (x-2)/(x^2-3x+2)

CHHAYA PUBLICATION-RELATION AND MAPPING -Long Answer Type Questions
  1. Find the domain of definitions of each of the following functions : ...

    Text Solution

    |

  2. Find the domain of definitions of each of the following functions : ...

    Text Solution

    |

  3. Find the domain of definitions of each of the following functions : ...

    Text Solution

    |

  4. Find the domain of definitions of each of the following functions : ...

    Text Solution

    |

  5. Find the domain of definitions of each of the following functions : ...

    Text Solution

    |

  6. Find the domain of definitions of each of the following functions : ...

    Text Solution

    |

  7. Find the domain of definitions of each of the following functions : ...

    Text Solution

    |

  8. Find the domain of the following functions : f(x) =log(100x).((2log...

    Text Solution

    |

  9. Find the ranges of the following functions : y=sqrt(4-x^2)[-2lexle2]

    Text Solution

    |

  10. Find the ranges of the following functions : y=(x^2)/(1+x^2)

    Text Solution

    |

  11. Find the ranges of the following functions : y=sinx[0lexlepi]

    Text Solution

    |

  12. Find the ranges of the following functions : y=(x)/(x^2-5x+9)

    Text Solution

    |

  13. Find the ranges of the following functions : y=(3x-5)/(x^2-1)[xne1]

    Text Solution

    |

  14. Find the ranges of the following functions : y = sinx + cosx

    Text Solution

    |

  15. Find the ranges of the following functions : y=(1)/(3-cos2x)

    Text Solution

    |

  16. Find the ranges of the following functions : y=tanx(-pi/2ltxltpi/2)

    Text Solution

    |

  17. If f(x) is a quadratic function and f(1) = 5,f(-1) = 11 and f(2) = 8, ...

    Text Solution

    |

  18. If P(x) be a quadratic function and roots are 3,5 find P(x).

    Text Solution

    |

  19. If F(x)=(a)/(x)+b+cxand F(1)=5,F(-2)=2 and F(-1)=-3, find the value of...

    Text Solution

    |

  20. If f(n+1)=(2f(n)+1)/(2),n=1,2,3,... and f(1)=2 then find the value of ...

    Text Solution

    |