Home
Class 12
MATHS
Find the domain and range of the followi...

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

Text Solution

Verified by Experts

The correct Answer is:
`D:(-2-sqrt(2),-3]uu[-1,-2+sqrt(2));R{0}]`
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE MAIN|15 Videos

  • NUMBER THEORY

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

  • SEQUENCE & SERIES

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

Similar Questions

Explore conceptually related problems

Find the domain and range of the following functions: f(x)=sqrt(log_(2)(x^(2)+1))

find the domain and range of the following functions : f(x)=sqrt(sin^(-1)(log_(2)(x)))

Find the domain and range of the following function: f(x)=cos^(-1)sqrt(log_([x])(|x|)/x) , whre [.] denotes the greatest integer function.

f(x)=sin^(-1)[log_(2)((x^(2))/(2))] where [.] denotes the greatest integer function.

Find the domain of definition of the following functions : f(x)=sqrt(log_((1)/(2))(2x-3))

If [log_(2)((x)/([x]))]>=0, where [.] denote the greatest integer function,then

Find the domain and range of the following function: f(x)=tan^(-1)(sqrt([x]+[-x]))+sqrt(2-|x|)+1/(x^(2)) (where [ ] denotes greatest integer function)

Find the domain of definitions of the following function: f(x)=sqrt(log_(1//4)((5x-x^(2))/4))

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

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

RESONANCE-RELATION, FUNCTION & ITF-HLP_TYPE
  1. If a function is defined as f(x)=sqrt(log(h(x))g(x)), where g(x)=|sinx...

    Text Solution

    |

  2. Find the domain and range of the following function: f(x)=cos^(-1)sq...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If the range of the function f(x)={x/4}+cospi(((1-2[x]))/2)="sin"((pi[...

    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 9x) is difined on R satisfyinf 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. Suppose X and Y are two sets and f:XtoY is a function. For a subset A ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Let f(x)=(log)2(log)3(log)4(log)5(s in x+a^2)dot Find the set of value...

    Text Solution

    |

  20. tan^(-1)(tan theta)={(pi+theta,-(3pi)/2lt theta lt -(pi)/2),(theta , -...

    Text Solution

    |