Home
Class 12
MATHS
The domain of the real value function f(...

The domain of the real value function `f(x) = sqrt(5-4x-x^(2))+x^(2)log(x+4)` is ...........

A

`-5 le x le 1`

B

`-5 le 4 and n ge 1 `

C

`-4 lt x le 1`

D

`phi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|54 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|19 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Work|66 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……

The function f(x)= (4-x^(2))/(4x-x^(3)) is

The domain of the function f(x)=log_(10)(sqrt(x-4)+sqrt(6-x)) is

The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , is

Integrate the function (x+2)/(sqrt(4x-x^(2)))

Let D be the domain of the real valued function f defined by f(x) = sqrt(25-x^2) . Then , write D .

Find the domain of the following functions. f(x)= (1)/(sqrt(x-|x|))

Domain of the function defined by f(x)= sqrt(5|x|)=x^(2)-6 is…….

Find the domain of the following functions. f(x)= (1)/(sqrt(x + |x|))

Domain of f(x)= sqrt(a^(2)-x^(2)) (a gt 0) is

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. For function f(x) = (alpha x)/(x+1) , x ne -1 if fof(x) = x then alph...

    Text Solution

    |

  2. For real valued functions f and g, f(x) = 2sin (pi/x) and g(x) = sqrtx...

    Text Solution

    |

  3. The domain of the real value function f(x) = sqrt(5-4x-x^(2))+x^(2)log...

    Text Solution

    |

  4. The domian of sin^(-1)[log(3)(x/3)] is .......

    Text Solution

    |

  5. Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is……

    Text Solution

    |

  6. If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2 then f(X) =..........

    Text Solution

    |

  7. g(x) = 1 + sqrt(x) and f(g(x)) =3 +2sqrtx+x then f(x) = ......

    Text Solution

    |

  8. If real function f(x) =(x+1)^(2) and g(x) =x^(2) +1 then (fog) (-3) = ...

    Text Solution

    |

  9. f(x) = cot^(-1)x: R^(+) rarr (0,pi) and g(x) = 2x-x^(2): R rarrR then ...

    Text Solution

    |

  10. The domian of f is [-5,7] and g(x) = |2x+5| then the domian of (fog) (...

    Text Solution

    |

  11. A set A has 3 elements and a set B has 4 elements . The number of one...

    Text Solution

    |

  12. f: R rarr R , f(x) = (x-1) (x-2)(x-3) then f is ........

    Text Solution

    |

  13. f: N rarr N , f(n) = (n+5)^(2) , n in N , then the function f is ........

    Text Solution

    |

  14. f: [0,oo) rarr [0,oo) , f(x) = x/(1+x) then the function f is ...........

    Text Solution

    |

  15. f(x) =x^3/3+x^2/2+ax +b,AAx inR. If (x) is one one function then the m...

    Text Solution

    |

  16. f(x) = x^(2) - 2x -1, AA x in R, f:(-oo,oo] rarr [b,oo) is one one an...

    Text Solution

    |

  17. f(x) = (e^(x)-e^(-x))/(e^(x)+e^(-x))+2 . The inverse of f(x) is .........

    Text Solution

    |

  18. f:(2,4)rarr(1,3),f(x) = x - [(x)/2] , where [.] is a greatest integer ...

    Text Solution

    |

  19. f: [2,oo) rarr y, f(x) = x^(2)-4x +5 is a one and Onto function . If y...

    Text Solution

    |

  20. f:N rarrN , f(x)=x+(-1)^(x-1) then f^(-1)(x)= .......

    Text Solution

    |