Home
Class 12
MATHS
The domain of the function f(x)=4-sqrt(x...

The domain of the function `f(x)=4-sqrt(x^(2)-9)` is

A

`x lt -3`

B

`x gt 0`

C

`x gt 3`

D

`x le -3` or `x ge3`

Text Solution

Verified by Experts

The correct Answer is:
D
In order that `sqrt(x^(2)-9)` be a real number, `x^(2)-9ge0`. Solve this inequality to find that `xle-3` or `xge3.`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The domain of the function f(x)= sqrt(9-x^(2)) is :

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

The domain of the function f(x)=sqrt(x-sqrt(1-x^2)) is

What is the domain of the function f(x) = sqrt(x^(2)+3) ?

The domain of the function f(x)=sqrt((x^(2)-8x+12).ln^(2)(x-3)) is

Statement 1 : The domain of the function f(x)=sqrt(x-[x])" is "R^(+) Statement 2 : The domain of the function sqrt(f(x)) is {x : f (x) ge 0} .

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)

The domain of the function f(x)=sqrt(sin x-1) is

The domain of the function f(x) = sqrt((4-x^(2))/([x]+2)) where [x] denotes the greatest integer less than or equal to x,is

Domain of the function f(x)=sqrt(2-sec^(-1)x) is

ENGLISH SAT-MODEL TEST 2-MCQs
  1. What is the distance between the points with coordinates (-3,4,1) and ...

    Text Solution

    |

  2. Log(a^(2)-b^(2))=

    Text Solution

    |

  3. The domain of the function f(x)=4-sqrt(x^(2)-9) is

    Text Solution

    |

  4. If graph of x+2y+3=0 is perpendicular to the graph of ax+3y+2=0, then ...

    Text Solution

    |

  5. The maximum value of 6 sin x cos x is

    Text Solution

    |

  6. If f(r,theta)=rcostheta, then f(2,3)=

    Text Solution

    |

  7. If 5 and -1 are both zeros of the polymonial P(x), then a factor of P(...

    Text Solution

    |

  8. i^(14)+i^(15)+i^(16)+i^(17)=

    Text Solution

    |

  9. The graph of y=sin2x for x between 10^(@) and 350^(@) crosses the x-ax...

    Text Solution

    |

  10. The third term of ann arithmetic sequence is 15, and the seventh term ...

    Text Solution

    |

  11. A particular sphere has the property that its surface area has the sam...

    Text Solution

    |

  12. (1)/(a)+(1)/(b)=

    Text Solution

    |

  13. The pendulum on a clock swings through an angle of 1 radian, and the t...

    Text Solution

    |

  14. What is the domain of the function f(x)=4-sqrt(3x^(3)-7)?

    Text Solution

    |

  15. If x+y=90^(@), which of the following must be true?

    Text Solution

    |

  16. The graph of the equation y=x^(3)+5x+1

    Text Solution

    |

  17. The length of the radius of the sphere x^(2)+y^(2)+z^(2)+2x-4y=10 is

    Text Solution

    |

  18. The graph of y=x^(4)+11x^(3)+9x^(2)-97x+c is shown above with the wind...

    Text Solution

    |

  19. Which of the following is the solution set for x(x-3)(x+2)gt0?

    Text Solution

    |

  20. Which of the following is the equation of the circle that has its cent...

    Text Solution

    |