Home
Class 12
MATHS
Range of f(x) =sin^-1(sqrt(x^2+x+1)) is...

Range of `f(x) =sin^-1(sqrt(x^2+x+1))` is

Text Solution

Verified by Experts

The correct Answer is:
`[pi/3,pi/2]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|18 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

Range of f(x)=sin^(-1)x*sin x

The range of function f(x)=sin^(-1)(x-sqrt(x)) is equal to

Find the domain and range of f(x)=[log(sin^(-1)sqrt(x^(2)+3x+2))]

Range of f(x)=cos^(-1)((sqrt(1+2x^(2)))/(1+x^(2)))

The range of f(x)=sin^(-1)x+sqrt(x) is

The range of f(x)=sqrt((x^(2))/(x^(2)+1)) is

Range of f(x)=sin^(-1)x+tan^(-1)x+sqrt(x+1) is [a,b] then b+a is equal to

Find the domain and range of f(x) = sin{ln((sqrt(4-x^2))/(1-x))}

Range of f(x)=sin^(-1)x+sec^(-1)x is

Find the range of f(x)=cos^(-1)((sqrt(1+2x^(2)))/(1+x^(2)))

ARIHANT MATHS-FUNCTIONS-Exercise For Session 5
  1. f(x)=(x^(2)-2)/(x^(2)-3). find the range of f(x).

    Text Solution

    |

  2. f(x)=(x^(2)+2x+3)/x . Find the range of f(x).

    Text Solution

    |

  3. f(x)=abs(x-1)+abs(x-2)+abs(x-3) . Find the range of f(x).

    Text Solution

    |

  4. Find the domain and range of the following function: f(x)=log([x-1])...

    Text Solution

    |

  5. f(x)=cos^-1sqrt(log([x]) ((|x|)/x)) where [.] denotes the greatest int...

    Text Solution

    |

  6. Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest inte...

    Text Solution

    |

  7. The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

    Text Solution

    |

  8. Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

    Text Solution

    |

  9. f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

    Text Solution

    |

  10. Find the range of f(x)=sqrt(log(cos(sinx)))

    Text Solution

    |

  11. f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

    Text Solution

    |

  12. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  13. Range of f(x)=(tan(pi[x^(2)-x]))/(1+sin(cosx))

    Text Solution

    |

  14. f(x)=e^(x)/([x+1]),x ge 0

    Text Solution

    |

  15. f(x)=[abs(sinx)+abs(cosx)], where [*] denotes the greatest integer fun...

    Text Solution

    |

  16. f(x)=sqrt(-x^(2)+4x-3)+sqrt(sin""pi/2(sin""pi/2(x-1)))

    Text Solution

    |

  17. Find the image of the following sets under the mapping f(x)= x^4 -8x^3...

    Text Solution

    |

  18. Find the domain and range of f(x)=log[ cos|x|+1/2],where [.] denotes...

    Text Solution

    |

  19. Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x...

    Text Solution

    |

  20. Find the domain and range of f(x)=[log(sin^(-1)sqrt(x^2+3x+2))].

    Text Solution

    |