Home
Class 12
MATHS
The domain of definition of the function...

The domain of definition of the function
`f(x)=sin^(-1)((x-3)/(2))-log_(10)(4-x)` , is

A

`1 le x le 5`

B

`1 lt x lt 4`

C

`1 le x lt 4`

D

`1 le x le 4`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The domain of definition of the function f(x)=(7- x)P_(x-3) , is

The domain of definition of the function f(x)=sin^(-1)((4)/(3+2 cos x)) , is

The domain of the definition of the function f(x)=(1)/(4-x^(2))+log_(10)(x^(3)-x) is

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

The domain of definition of the function f(X)=x^(log_(10)x , is

Domain of definition of the function f(x)=(9)/(9-x^(2)) +log_(10) (x^(3)-x) , is

The domain of definition of the function f(x)= sin^(-1){log_(2)((x^(2))/(2))} , is

Find the domain of the function f(x)=sin^(-1)(2x-3)

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

The domain of definition of the function f(x)=sqrt(log_(10) ((2-x)/(x))) is

OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The domain of definition of the function f(x)=3sqrt((2x+1)/(x^(2)-10x...

    Text Solution

    |

  2. Let g(x) be a function defined on[-1,1]dot If the area of the equilate...

    Text Solution

    |

  3. The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-l...

    Text Solution

    |

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

    Text Solution

    |

  5. If f : R -> R are defined by f(x) = x - [x] and g(x) = [x] for x in R,...

    Text Solution

    |

  6. The domain of definition f(x)=sqrt(log(0.4) ((x-1)/(x+5)))xx1/(x^2-36...

    Text Solution

    |

  7. The set of all x for which the none of the functions is defined f(x)=l...

    Text Solution

    |

  8. If f: R to R is defined by f(x)=x-[x]-(1)/(2) for all x in R , wher...

    Text Solution

    |

  9. The domain of definition of f(x)=log(10) log(10)…..log(10)x n times, i...

    Text Solution

    |

  10. The domain of the function f(x) = log10 log10 (1 + x ^3) is

    Text Solution

    |

  11. The domain of the function f(x)=log(3)[-(log(3)x)^(2)+5log(3) x-6] is

    Text Solution

    |

  12. The domain of definition of f(x)=log(3)|log(e)x|, is

    Text Solution

    |

  13. The domain of definition of the function f(x)=log(3){-log(4)((6x-4)...

    Text Solution

    |

  14. The domain of definition of the function f(X)=x^(log(10)x, is

    Text Solution

    |

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

    Text Solution

    |

  16. If the function f(x)=log(x-2)-log(x-3) and g(x)=log((x-2)/(x-3)) are i...

    Text Solution

    |

  17. The domain of definition of the function f(x)=sin^(-1)((4)/(3+2 cos x)...

    Text Solution

    |

  18. The domain of the function f(x)=cos^(-1)[secx], where [x] denotes the ...

    Text Solution

    |

  19. Let f be a real vlaued fuction with domain R such that f(x+1)+f(x-1)=s...

    Text Solution

    |

  20. Let f be a real valued function with domain R satisfying f(x + k) =1+[...

    Text Solution

    |