Home
Class 12
MATHS
The domain of f(x)=sqrt(sin^(-1)(3x-4x^(...

The domain of `f(x)=sqrt(sin^(-1)(3x-4x^(3)))+sqrt(cos^(-1)x)` is equal to

A

(a) `[-1,-sqrt(3)/2] cup [0,sqrt(3)/2]`

B

(b) `[-1,-1/2] cup [0,1/2]`

C

(c) `[0,1/2]`

D

(d) None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

The domain of f(x) = (1)/(sqrt(1-x^(2))) is :

Find domain of f(x)=sqrt(log_(1/2)((5x-x^2)/4))

The domain of the function : f(x)= (sin^(-1) (x-3))/(sqrt(9-x^2)) is :

f(x)=sqrt(log((3x-x^(2))/(x-1)))

Find the domain of f(x)=1/sqrt(1-cosx)

Find domain f(x)=sqrt((2x+1)/(x^3-3x^2+2x))

Find the domain of f(x)=sqrt(1-sqrt(1-sqrt(1-x^2)))

The domain of the function f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx)) in [0,2pi] is

Find domain for, f(x)=cos^(-1)x .

Find domain for f(x)=sqrt(cos (sin x))

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-(x))dot Show that g(...

    Text Solution

    |

  2. If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

    Text Solution

    |

  3. If f(x) is a real-valued function discontinuous at all integral points...

    Text Solution

    |

  4. A function f from integers to integers is defined as f(x)={{:(n+3, n ...

    Text Solution

    |

  5. If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7), where {} is a fractional p...

    Text Solution

    |

  6. Show that f: R→ R defined as f(a) = 3a – 4 is one to one function.

    Text Solution

    |

  7. Find dy/dx if y= 3^x

    Text Solution

    |

  8. Let y be element of the set A={1,2,3,,5,6,10,15,30} and x(1),x(2),x(3)...

    Text Solution

    |

  9. If A gt 0, c,d,u.v are non-zero constants and the graph of f(x)=abs(Ax...

    Text Solution

    |

  10. f(x)=x^(3)+3x^(2)+4x+bsinx+c cosx,forall x in R is a one-one function,...

    Text Solution

    |

  11. If two roots of the equation (p-1)(x^2 +x +1)^2 -(p+1)(x^4+x^2+1)=0 ar...

    Text Solution

    |

  12. If f(x)=x^11+x^9−x^7+x^3+1 and f(sin^(−1)(sin8))=α,α is constant, then...

    Text Solution

    |

  13. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

    Text Solution

    |

  14. The complete set of values of a for which the function f(x)=tan^(-1)(x...

    Text Solution

    |

  15. The domain of the function f(x)=sin^(-1)""(1)/abs(x^(2)-1)+1/sqrt(si...

    Text Solution

    |

  16. The domain of f(x)=(log(sin^(-1)sqrt(x^(2)+x+1)))/(log(x^(2)-x+1)) is ...

    Text Solution

    |

  17. The domain of f(x)=sqrt(sin^(-1)(3x-4x^(3)))+sqrt(cos^(-1)x) is equal ...

    Text Solution

    |

  18. The domain of the function f(x)=root(6)(4^(x)+8^(2//3(x-2))-52-2^(2(...

    Text Solution

    |

  19. The domain of derivative of the function f(x)=abs(sin^(-1)(2x^(2)-1)...

    Text Solution

    |

  20. The range of a function f(x)=tan^(-1){log(5//4)(5x^(2)-8x+4)} is

    Text Solution

    |