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

The domain of the function `y = f (x)=(1)/(log _(10) (1-x))+sqrt(x +2)` is

A

`[-2,1)`, excluding 0

B

`[-3,-2],` excluding `-2.5`

C

`[0,1],` excluding 0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

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

Find domain of the function f(x)=(1)/(log_(10)(1-x))+sqrt(x+2)

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

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

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

Find the domain of the function f(x) = (1)/(log_(10) (1- x)) + sqrt(x + 3)

The domain of the function f(x) = sqrt(sin^(-1)(log_(10)x)) is

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. The domain of the function sqrt(log(x^2-6x+6)) is

    Text Solution

    |

  2. The domain of f (x) =(9log (x+3))/( x ^(2) + 3x +2) is

    Text Solution

    |

  3. The domain of the function y = f (x)=(1)/(log (10) (1-x))+sqrt(x +2) i...

    Text Solution

    |

  4. The domain of f(x)=log|logx| is

    Text Solution

    |

  5. The domain of definition of f(x)=sqrt((1-|x|)/(2-|x|)) is

    Text Solution

    |

  6. The domain of the function f(x)=sqrt(log(1/(|sinx|))) R-{-pi,pi} (b)...

    Text Solution

    |

  7. The domain of the function f(x)=(log)(3+x)(x^2-1) is (-3,-1)uu(1,oo) ...

    Text Solution

    |

  8. The domain of the function f(x) = ( sqrt(5x - 3 - 2x^(2))) is

    Text Solution

    |

  9. The domain of the function f (x) =sin ^(-1) (x-3)/sqrt(x - x ^(3)) is

    Text Solution

    |

  10. Domain of the function f(x)=sin^(- 1)(1+3x+2x^2)

    Text Solution

    |

  11. The domain of the function f(x)=sqrt(cos^(- 1)((1-|x|)/2)) is

    Text Solution

    |

  12. The domain of the function cos^-1 {log2 (x^2+5x+8)} is

    Text Solution

    |

  13. The range of the function f (x) = sqrt(x - x ^(2)) is

    Text Solution

    |

  14. The range of the functin f (x) = (x+2)/(|x+2|) is

    Text Solution

    |

  15. Find the range of f(x)=(x^2+34 x-71)/(x^3+2x-7)

    Text Solution

    |

  16. IF f :R -{2} to R is a function defined by f(x) =(x^(2)-4)/(...

    Text Solution

    |

  17. Let f:R to R be defined as f (x) =( 9x ^(2) -x +4)/( x ^(2) x+4). The...

    Text Solution

    |

  18. The range of f(x) = cos x - sin x is

    Text Solution

    |

  19. Equation cos 2x+7=a(2-sin x) can have a real solution for

    Text Solution

    |

  20. The range of the function f(x)=log(e)(3x^(2)+4) is equal to

    Text Solution

    |