Home
Class 12
MATHS
If a function is defined as f(x)=sqrt(lo...

If a function is defined as `f(x)=sqrt(log_(h(x))g(x))`, where `g(x)=|sinx|+sinx,h(x)=sinx+cosx,0lexlepi`. Then find th domain of `f(x)`.

Text Solution

Verified by Experts

The correct Answer is:
`[(pi)/6,(pi)/2)`

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 range of f(x)=abs(sinx)+abs(cosx)0lexlepi

The domain of the function f(x)=sqrt(log((1)/(|sinx|)))

The function f defined by f(x)={{:(,(sinx^(2))/(x),x ne 0),(,0,x=0):} is

The domain of the function f(x)=sqrt( log_(2) sinx ) , is

f(x)=sinx+cosx+3 . find the range of f(x).

If (f(x))/(g(x))=h(x) where g(x)=sqrt(1-|(x^(2))/(x-1)|) and h(x)=(1)/(sqrt(|x-1|-[x])) then the domain of f(x)

If f(x) =sqrt(4-x^(2)) +1/(sqrt(abs(sinx)-sinx)) , then the-domain of f(x) is

The function f defined by f(x)=(4sinx-2x-xcosx)/(2+cosx),0lexle2pi is :

RESONANCE-RELATION, FUNCTION & ITF-HLP_TYPE
  1. find the range of the function f(x)=1/(2{-x})-{x} occurs at x equals ...

    Text Solution

    |

  2. If f:RtoR,f(x)=(sqrt(x^(2)+1)-3x)/(sqrt(x^(2)+1)+x) then find the rang...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Suppose X and Y are two sets and f:XtoY is a function. For a subset A ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |