Home
Class 12
MATHS
Find the domain of the function, f(x)=...

Find the domain of the function,
`f(x)=log{log_(abs(sinx)){x^(2)-8x+23)-(3)/(log_(2)abs(sinx))}`.

A

`(3, 5)`

B

`(3, pi) uu (pi,5)`

C

`(3,pi) uu (3pi//2,5)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

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

    MOTION|Exercise Exercise - 3|119 Videos
  • FUNCTION

    MOTION|Exercise Exercise - 1 ( JEE Main)|48 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 of the function, f(x)=log|x| .

Find the domain of the function f(x)=log_(e)(x-2)

Find the domain of the function f(x)=log_(e)(x-2)

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

Find the domain of the function : f(x)=log_((x-4))(x^(2)-11x+24)

Find the domain of the function, f(x)=log_(3x+4)(sqrt(x^2-4))

log_(sin(x^(2)-8x+23))>(3)/(log_(2)(sin x))

Find the domain of the function log|4-x^(2)|.

The domain of the function f(x)=log_(e){log_(|sinx|)(x^(2)-8x+23)-(3)/(log_(2)|sinx|)} contains which of the following interval (s) ?

Find the domain of the function : f(x)=sin^(-1)(log_(2)x)

MOTION-FUNCTION-Exercise - 2 (Level-I)
  1. If domain of f(x) is (-prop, 0) then domain of f(6{x}^2- 5 {x} + 1) is...

    Text Solution

    |

  2. Domain of the function f(x)=log(2x)((sqrt(|tanx|+tanx))/(sqrt(2x)))*x ...

    Text Solution

    |

  3. Find the domain of the function, f(x)=log{log(abs(sinx)){x^(2)-8x+23...

    Text Solution

    |

  4. If [2 cos x ] + [sin x]=-3, then the range of the function, f (x)=sin...

    Text Solution

    |

  5. Let f be a real valued function defined by f(x)=(e^x-e^(-|x|))/(e^x+e^...

    Text Solution

    |

  6. If f(x) = (sin^2x + 4sinx + 5)/(2 sin ^2x + 8 sin x + 8), then range o...

    Text Solution

    |

  7. The domain and range of f(x) = cos^(-1)sqrt(log([x])(|x|/(x))) where[....

    Text Solution

    |

  8. Which of the following pair of functions are identical ?

    Text Solution

    |

  9. The number of solution(s) integer function and ) of the equation [x] +...

    Text Solution

    |

  10. If A , B , C are three real numbers and p=[A+b+C] and q=[A]+[B]+[C]dot...

    Text Solution

    |

  11. Which of the following has range above y = 2

    Text Solution

    |

  12. Siny = Sinx has graph

    Text Solution

    |

  13. If f : [0,oo)to [0,oo) and f(x) =(x)/(1+x), then f is

    Text Solution

    |

  14. Let f: (e, oo) -> R be defined by f(x) =ln(ln(In x)), then

    Text Solution

    |

  15. If f(x) = 2[x] + cosx, then f : R to R is (where [ * ] denotes great...

    Text Solution

    |

  16. If the real-valued function f(x) = px + sinx is a bijective function, ...

    Text Solution

    |

  17. Let S be the set of all triangles and R^+ be the set of positive real ...

    Text Solution

    |

  18. If g:[-2,2]vecR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd function, ...

    Text Solution

    |

  19. A function f(x)=(2x(sin x))/(2[(x+21 pi)/(pi)]-41)(1) Even function (...

    Text Solution

    |

  20. Let f(x)={:{(4, :, x lt-1),(-4x,:,-1 lex le 0):}. If f(x) is an even ...

    Text Solution

    |