Home
Class 12
MATHS
The domain of the function f(x)=[log(10)...

The domain of the function `f(x)=[log_(10)((5x-x^(2))/(4))]^(1//2)` is

A

[1,4]

B

(1,4)

C

(0,5)

D

[0,5]

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|8 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|63 Videos

Similar Questions

Explore conceptually related problems

Domain of the function f(x) =log_(0.5) (3x-x^(2)-2)

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

The domain of the function f(x)=(log_(4)(5-[x-1]-[x]^(2)))/(x^(2)+x-2) is (where [x] denotes greatest integer function)

Domain of the function f(x)=(1)/(log(2-x)) is

The domain of the function f(x)=log_(10)(sqrt(x-4)+sqrt(6-x)) is

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

The domain of the function f(x)=log_(10)[1-log_(10)(x^(2)-5x+16)] is

The domain of the function f(x)=(1)/(4-x^(2))+log_(10)(x^(2)-x) is

The function f(x)=log_(10)(x+sqrt(x^(2))+1) is

The domain of the function f(x)=1/(9-x^2)+log_(20)(x^3-3x) is

OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The domain of the function f(x) given by f(x)=(sqrt(4-x^(2)))/(sin^(-1...

    Text Solution

    |

  2. The domain of the function f(x)=sqrt({(-log0.3(x-1))/(-x^2+3x+18)})...

    Text Solution

    |

  3. The domain of the function f(x)=[log(10)((5x-x^(2))/(4))]^(1//2) is

    Text Solution

    |

  4. If f : R -> R is defined by f(x) = 1 /(2-cos3x) for each x in R then t...

    Text Solution

    |

  5. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  6. The domain of definition of the function f(x)=(1)/(sqrt(|x|+x)) is

    Text Solution

    |

  7. The set of values of x for which the function f(x)=(1)/(x)+2^(sin^(...

    Text Solution

    |

  8. The function f(x)=log(10)(x+sqrt(x^(2))+1) is

    Text Solution

    |

  9. The function f(x)=cos (log (x+sqrt(x^(2)+1))) is :

    Text Solution

    |

  10. f(x)=sqrt(sin^(- 1)(log2x)) Find the domain

    Text Solution

    |

  11. The function f(x)=sqrt(cos (sin x))+sin^(-1) ((1+x^(2))/(2x)) is defin...

    Text Solution

    |

  12. The function f(x)=|cos| is periodic with period

    Text Solution

    |

  13. If a funciton f(x) is defined for x in [0,1], then the function f(2x+...

    Text Solution

    |

  14. The period of the function f(x)=sin^(4)x+cos^(4)x is:

    Text Solution

    |

  15. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  16. If f(-x)=-f(x) , then f(x) is

    Text Solution

    |

  17. The value of f(x)=3sin((pi^2)/(16)-x^2) lie in the interval

    Text Solution

    |

  18. If f(x) =(x-1)/(x+1)," then f(2x) is:"

    Text Solution

    |

  19. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  20. If f(x)=2x^(6)+3x^(4)+4x^(2) , then f'(x) is

    Text Solution

    |