Home
Class 12
MATHS
Find the domain of each of the following...

Find the domain of each of the following functions: `f(x)=ln[x^(2)+x+1]`, where [.] GIF

Text Solution

Verified by Experts

The correct Answer is:
`(-oo,-1uu[0,oo)`

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SCQ_TYPE|97 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Find the domain of each of the following functions: f(x)=e^(x+sinx)

Find the domain the range of each of the following function: f(x)=x!

Find the domain of each of the following functions: f(x)=(x^(3)-5x+3)/(x^(2)-1)

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Find the domain of each of the following function: f(x)=2^(sin^(-1)x)+1/(sqrt(x-2))

Find the domain of each of the following functions: f(x)=sin^(-1)x^(2) (ii) f(x)=sin^(-1)x+sin x

Find the domain of each of the following functions: f(x)=1/(log_(10)(1-x))+sqrt(x+2)

Find the domain of following function: f(x)=1/(log(2-x))+sqrt(x+1)

Find the domain and range of the following functions: f(x)=sqrt(log_(2)(x^(2)+1))

Find the domain of each of the following functions: f(x)=sqrt((log_(2)(x-2))/(log_(1//2)(3x-1)))

RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Find the domain of each of the following functions: f(x)=1/(log(10)(1-...

    Text Solution

    |

  2. Find the domain of each of the following functions: f(x)=sqrt((log(2)(...

    Text Solution

    |

  3. Find the domain of each of the following functions: f(x)=ln[x^(2)+x+1]...

    Text Solution

    |

  4. Find the domain of each of the following functions: f(x)=(sqrt(cosx-1/...

    Text Solution

    |

  5. Find the domain of definitions of the following function: f(x)=sqrt(3-...

    Text Solution

    |

  6. Find the domain of definitions of the following function: f(x)=sqrt(1-...

    Text Solution

    |

  7. Find the domain of definitions of the following function: f(x)=(x^(2)+...

    Text Solution

    |

  8. Find the domain of definitions of the following function: f(x)=sqrt((x...

    Text Solution

    |

  9. Find the domain of definitions of the following function: f(x)=sqrt(ta...

    Text Solution

    |

  10. Find the domain of definitions of the following function: f(x)=1/(sqrt...

    Text Solution

    |

  11. Find the domain of definitions of the following function: f(x)=sqrt(lo...

    Text Solution

    |

  12. Find the domain of definitions of the following function: f(x)=log(10)...

    Text Solution

    |

  13. Find the range of each of the following function: f(x)=|x-3|

    Text Solution

    |

  14. Find the range of each of the following function: f(x)=x/(1+x^(2))

    Text Solution

    |

  15. Find the range of each of the following function: f(x)=sqrt(16-x^(2))

    Text Solution

    |

  16. Find the range of each of the following function: f(x)=(|x-4|)/(x-4)

    Text Solution

    |

  17. Find the domain the range of each of the following function: f(x)=1/(s...

    Text Solution

    |

  18. Find the domain the range of each of the following function: f(x)=x!

    Text Solution

    |

  19. Find the domain and range of the function f(x)=(x^(2)-9)/(x-3)

    Text Solution

    |

  20. Find the domain the range of each of the following function: f(x)=sin^...

    Text Solution

    |