Home
Class 11
MATHS
The domain of sin^(-1)[(3x-1)/2] + sqrt...

The domain of `sin^(-1)[(3x-1)/2] + sqrt(cos(sin x))` is:

A

`[-1,1]`

B

`[-1//3,0]`

C

(0,1]

D

`[-1//3,1]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

The domain of Sin^(-1)x is

The domain of Sin^(-1)(2x-7) is

Domain of sin^(-1) 5x is:

The domain of Cos^(-1)sqrt(2x) is

The domain of sin^(-1)(x/2-1)+ logsqrt(x-[x]) is:

The domain of cos^(-1)(sqrt(2)x) is

The domain of f(x) = (sin^(-1)x)/([x]) is:

Domain of Cos^(-1)sqrt(3x) is

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. The domain of the function f(x) =sqrt(sin^(-1)x) is:

    Text Solution

    |

  2. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |

  3. The domain of sin^(-1)[(3x-1)/2] + sqrt(cos(sin x)) is:

    Text Solution

    |

  4. The domain of the function: f(x) = sqrt(sin^(-1)(log(2)x)) + sin^(-...

    Text Solution

    |

  5. The domain of f(x)=("cosec"^(-1)x)/([x]) is

    Text Solution

    |

  6. The domain of sin^(-1)(x/2-1)+ logsqrt(x-[x]) is:

    Text Solution

    |

  7. The largest interval lying in (-pi/2, pi/2) for which the function f(x...

    Text Solution

    |

  8. The domain of log(tan^(-1)x) is:

    Text Solution

    |

  9. Find the domain of the function f(x) = log2(log3(log4/π( tan − 1x)− 1 ...

    Text Solution

    |

  10. The domain of (tanh^(-1)(2x-3))/sqrt(4-x^(2)) is

    Text Solution

    |

  11. If f:R rarrS, defined by f(x)=sinx-sqrt3cos x+1, is onto, then the int...

    Text Solution

    |

  12. The range of the function f(x)=[sinx+cosx] (where [x] denotes the grea...

    Text Solution

    |

  13. The range of the function: f(x) = tan^(-1)[x], -pi/4 le x le pi/4 wh...

    Text Solution

    |

  14. If f:[2, 3] rarr RR is defined by f(x)=x^(3)+3x-2, then the range f(x)...

    Text Solution

    |

  15. The function f: C to C defined by f(x)=(ax+b)/(cx+d) for x in C where ...

    Text Solution

    |

  16. The function sin^(-1)x + cos^(-1)x (-1 le x le 1) is:

    Text Solution

    |

  17. What is a monotonic function?

    Text Solution

    |

  18. The function f:R rarrR is defined by f(x)=3^(-x). Observe the followin...

    Text Solution

    |

  19. If f: C to C where C is set of complex numbers and f(z)=|z|, then/ ...

    Text Solution

    |

  20. If f: C to C such that f(z) =z-barz, AA z in C, then f is:

    Text Solution

    |