Home
Class 12
MATHS
f(x)=cos^(-1)sqrt(log([x])""abs(x)/x), w...

`f(x)=cos^(-1)sqrt(log_([x])""abs(x)/x)`, where `[*]` denotes the greatest integer.

Text Solution

Verified by Experts

The correct Answer is:
`D:[2,oo);R:{pi//2}`
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SSP|55 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise JEE MAIN|15 Videos

  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

f(x)=cos^-1sqrt(log_([x]) ((|x|)/x)) where [.] denotes the greatest integer function

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

Find the domain and range of the following function: f(x)=sqrt(log_(1//2)log_(2)[x^(2)+4x+5]) where [.] denotes the greatest integer function

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function.

If f(x) = log_([x-1])(|x|)/(x) ,where [.] denotes the greatest integer function,then

f(x)=1/([abs(x-2}]+[abs(x-10)]-8) where [*] denotes the greatest integer function.

The domain of the function f(x)=(1)/(sqrt((x)-[x])) where [*] denotes the greatest integer function is

Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x]) , where [.] denotes the greatest integer function.

The domain of function f (x) = log _([x+(1)/(2)])(2x ^(2) + x-1), where [.] denotes the greatest integer function is :

Domain (D) and range (R) of f(x)=sin^(-1)(cos^(-1)[x]), where [.] denotes the greatest integer function, is

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-HLP_TYPE
  1. If f:RtoR,f(x)=(sqrt(x^(2)+1)-3x)/(sqrt(x^(2)+1)+x) then find the rang...

    Text Solution

    |

  2. If a function is defined as f(x)=sqrt(log(h(x))g(x)), where g(x)=|sinx...

    Text Solution

    |

  3. f(x)=cos^(-1)sqrt(log([x])""abs(x)/x), where [*] denotes the greatest ...

    Text Solution

    |

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

    Text Solution

    |

  5. f(x)=sin^-1[log2(x^2/2)] where [ . ] denotes the greatest integer func...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the domain and range of the following function: f(x)=tan^(-1)(s...

    Text Solution

    |

  8. If f(x)=(sin^2 x+4sinx+5)/(2sin^2x+8sinx+8) then range of f(x) is

    Text Solution

    |

  9. Find range of the function f(x)=log(2)[3x-[x+[x+[x]]]] (where [.] is...

    Text Solution

    |

  10. If f(x)=1/(x^(2)+1) and g(x)=sinpix+8{x/2} where {.} denotes fractiona...

    Text Solution

    |

  11. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  12. Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)...

    Text Solution

    |

  13. It is given that f (x) is defined on R satisfying f (1)=1 and for AA ...

    Text Solution

    |

  14. Find the integral solutions to the equation [x][y]=x+y. Show that all ...

    Text Solution

    |

  15. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

    Text Solution

    |

  16. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

    Text Solution

    |

  17. Let 0ltalpha,beta,gammalt(pi)/2 are the solutions of the equations cos...

    Text Solution

    |

  18. Let f(x)=(log)2(log)3(log)4(log)5(sin x+a^2)dot Find the set of values...

    Text Solution

    |

  19. Express cot(cosec^(-1)x) as an algebraic function of x.

    Text Solution

    |

  20. Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1...

    Text Solution

    |