Home
Class 12
MATHS
lf domain of f(x) is [-1, 2] then domain...

lf domain of `f(x)` is `[-1, 2]` then domain of `f([x]-x^2+4)` where [.] denotes the greatest integer function is

A

`[-1,sqrt7]`

B

`[-sqrt3,-1]cup[-sqrt3,sqrt7]`

C

`(-1,sqrt7]`

D

`[-sqrt3,-1]cup[sqrt3,sqrt7]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level-II|20 Videos

  • FUNCTION

    FIITJEE|Exercise COMPREHENSIONS|8 Videos

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level-II|17 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

Similar Questions

Explore conceptually related problems

If domain of f(x) is [-1,2] then domain of f(x]-x^(2)+4) where [.] denotes the greatest integer function is

Domain of f(x)=sqrt([x]-1+x^(2)); where [.] denotes the greatest integer function,is

If domain of y=f(x) is [-4,3], then domain of g(x)=f(|x]|) is,where [.] denotes greatest integer function

Domain of cos^(-1)[2x^(2)-3] where [ ] denotes greatest integer function, is

If f(x)=[2x], where [.] denotes the greatest integer function,then

The domain of f(x)=log_(e)(4[x]-x) ; (where [1 denotes greatest integer function) is

If the domain of y=f(x) is [-3,2] ,then find the domain of g(x)=f(||x]|), wher [] denotes the greatest integer function.

The domain of f(x)=sqrt([x]^(2)-7[x]+12) (where [.] denotes greatest integer function) is

If domain of y=f(x is x in[-3,2], then domain of y=f([x] : (where [] denotes greatest integer function) (A) [-3,2], (B) [-2,3] (C) [-3,3], (D) [-2,3]

FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
  1. The curve y = f(x) is symmetric about the lines (10^(4)- 1)x + 2(10^(4...

    Text Solution

    |

  2. If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distin...

    Text Solution

    |

  3. lf domain of f(x) is [-1, 2] then domain of f([x]-x^2+4) where [.] den...

    Text Solution

    |

  4. Period of the function f(x) = [5x + 7] + cospix - 5x where [·] denotes...

    Text Solution

    |

  5. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

    Text Solution

    |

  6. Let Sn=sum(r+1)^(n)r ! (n>6), then Sn-7[(Sn)/7] (where [.] denotes the...

    Text Solution

    |

  7. Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is...

    Text Solution

    |

  8. The graph of y = f(x} is shown, then the number of solutions of f(f(x}...

    Text Solution

    |

  9. If f(x) = sin^(-1)(m^(2) -3m+ 1)sec (absx)/3-[e^(m-4)](sin{x}), where ...

    Text Solution

    |

  10. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  11. If f(x)=abs(x-1)+abs(x-4)+abs(x-9)+…+abs(x-2500)AA x inR, where m and ...

    Text Solution

    |

  12. Domain of the function f(x) = sin^(-1) [1 + cos x]- sqrt(16-x^(2)) ([....

    Text Solution

    |

  13. The number of solutions of log(x)3. = 2x-3 is,

    Text Solution

    |

  14. Domain of f(x)=sqrt((x-1)/(x-2{x})), where {.} denotes the fractional ...

    Text Solution

    |

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

    Text Solution

    |

  16. The region M consists of all the points (x, y) satisfying the inequali...

    Text Solution

    |

  17. The domain of the function f(x)=sqrt(((sinx-e^(x))(cosx-3)("In"x+2))/(...

    Text Solution

    |

  18. A function f: I to I, f(x + y) = f(x) + f(y) - 1/2 AAx, y in I, where ...

    Text Solution

    |

  19. Consider the function f: A -> A where A:{1,2,3,4,5} which satisfy the...

    Text Solution

    |

  20. If f(x+y)=f(x)-f(y)+2xy-1AAx,yinR. Also if f(x) is differentiable and ...

    Text Solution

    |