Home
Class 12
MATHS
The domain of the function f(x) =1/(3-lo...

The domain of the function `f(x) =1/(3-log_(3)(x-3))` is

A

`(-infty, 30)`

B

`(-infty, 30) cup (30, infty)`

C

`(3,30) cup (30,infty)`

D

`(4, infty)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS|50 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

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

The domain of the function f(x)=(log)_(3+x)(x^(2)-1) is

The domain of the function f(x) = sqrt(-log_(0.3)(x-1))/sqrt(x^2 + 2x + 8) is

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

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)=log_(10)x is :

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

The domain of the function f(x)=(x-1)/(x-3) is

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

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. Let f: (1 to infty) to (1, infty) be defined by f(x) =(x+2)/(x-1). The...

    Text Solution

    |

  2. Let A ={(x,y): x gt 0, y gt 0, x^(2) + y^(2) =1} and let B={(x,y) : x ...

    Text Solution

    |

  3. A college warded 38 medals in football, 15 in basketball and 20 in cr...

    Text Solution

    |

  4. Let Q be the set of all rational numbers and R be the relation defined...

    Text Solution

    |

  5. The domain of the function f(x) =1/(3-log(3)(x-3)) is

    Text Solution

    |

  6. Le f: R to R be a function defined by f(x) = x^(2009) + 2009x + 2009 ...

    Text Solution

    |

  7. Let f be a function defined on [-pi/2, pi/2] by f(x) = 3cos^(4)x - 6 c...

    Text Solution

    |

  8. Consider the following relations R(1) = {(x,y) : x and y are intege...

    Text Solution

    |

  9. Let f and g be functions defined by f(x) =1/(x+1), x in R, x ne -1 and...

    Text Solution

    |

  10. Let N be the set of natural numbers and for a in N, aN denotes the set...

    Text Solution

    |

  11. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

    Text Solution

    |

  12. Let f:Rrarr R be a function defined by, f(x)=(e^|x|-e^-x)/(e^x+e^-x t...

    Text Solution

    |

  13. If f is a function of real variable x satisfying f(x+4)-f(x+2)+f(x)=0 ...

    Text Solution

    |

  14. If A and B are two finite sets such that the total number of subsets o...

    Text Solution

    |

  15. If f(x) + 2 f(1 – x) = x^2 +1,AA x in R, then the range of f is :

    Text Solution

    |

  16. The function f(x) = (x )/( 1+ |x|) is

    Text Solution

    |

  17. In a survey it was found that 21 people liked product A, 26 liked p...

    Text Solution

    |

  18. Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)...

    Text Solution

    |

  19. The number of elements in the set A cap B cap C, where A ={(x,y) i...

    Text Solution

    |