Home
Class 11
MATHS
The largest domain for the real valued f...

The largest domain for the real valued function given by `f(x) =(sqrt(16-x^(2)))/(sqrt(x^(2)-1))`is:

A

[-4,4]

B

[-1,1]

C

(4,-4)

D

`[-4,-1)cup(1,4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE I. (Answer the following questions)|10 Videos
  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos
  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise CHOOSE THE CORRECT ANSWER|62 Videos

Similar Questions

Explore conceptually related problems

Find the domain of the real valued function given by f(x)=(sqrt(16-x^(2)))/(x^(2)-9)

Find the largest possible domain for the real valued function given f(x) = (sqrt(9-x^2) )/(sqrt(x^2 - 1) )

Find the largest possible domain for the real valued function f defined by f(x)=sqrt(9-x^(2))/sqrt(x^(2)-1)

Find the largest possible domain of the real valued function f(x) = (sqrt(4-x^(2)))/(sqrt(x^(2)-9)) .

Find the largest possible domain for the real valued function f defined by f(x)=sqrt(x^(2)-4x+3) .

Find the largest possible domain for the real valued functions f defined by f(x) = sqrt(x^2 - 5x + 6)

Find the largest possible domain for the real valued function f defined by f(x)=sqrt(x^(2)-5x+6) .

PREMIERS PUBLISHERS-SETS,RELATIONS AND FUNCATIONS-II. Choose the correct option for the following. (M.C.Q)
  1. Let A = {1,2,3) and p = {(1,2), (2,1), (1,1),(2,3), (2,2)) then to mak...

    Text Solution

    |

  2. The domain of f(x) =(1)/(1 -2cosx) is:

    Text Solution

    |

  3. The largest domain for the real valued function given by f(x) =(sqrt(1...

    Text Solution

    |

  4. Let f and g be two functions from R to Rdefined by f(x) = 3x – 2 and g...

    Text Solution

    |

  5. If the function f :(-2,2]toS is defined by f(x) = x^(2) is onto then S...

    Text Solution

    |

  6. Find the correct statement in the following: The function f(x) = x + x...

    Text Solution

    |

  7. Find the incorrect statement:

    Text Solution

    |

  8. Find the incorrect statement:

    Text Solution

    |

  9. Find the correct statement:

    Text Solution

    |

  10. Find the odd man out:

    Text Solution

    |

  11. Find the odd man out: Let A-(1,2,3,4) then

    Text Solution

    |

  12. Find the odd man out: Let X - {1,2,3,4), Y = {a,b,c,d,e)

    Text Solution

    |

  13. The set of all numbers greater than 0 is an ……..interval

    Text Solution

    |

  14. The product of an odd function and an even function is:

    Text Solution

    |

  15. Match the following: Let A -(0, 1, 2, 3) then the relations R(1), R(2)...

    Text Solution

    |

  16. Let A and B be two sets. Then A-B equals

    Text Solution

    |

  17. Find the odd one out:

    Text Solution

    |

  18. Assertion: If f, g, h are real valued functions then f(g+h)=fg+fh. Re...

    Text Solution

    |

  19. Assertion: The product of even functions an odd function is an odd fun...

    Text Solution

    |

  20. The number of reflective relations one containing n elements is:

    Text Solution

    |