Home
Class 12
MATHS
The domain of sqrt(x-3)/(x+3)+sqrt(2-x)/...

The domain of `sqrt(x-3)/(x+3)+sqrt(2-x)/(2+x)` is

A

`(-oo, -2)uu(3, oo)`

B

`(2, 3)`

C

R

D

`cancel(O)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A(FUNCTIONS)|140 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

The domain of f(x) = sqrt((x-3)/(x+3)) + sqrt((2-x)/(2+x)) is

The domain of (sqrt(3+x)+sqrt(3-x)) is

The domain of sqrt((x-1)(x-2)(x-3)) is

The domain of (sqrt (7 + x) + sqrt(7-x))/(x) is

The domain of sqrt(4-x^(2)) is

The domain of f(x)=(sqrt(2+x)+sqrt(2-x))/(x) is

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

The domain of sqrt((1-|x|)/(2-|x|)) is

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)
  1. sqrt(sinx)+sqrt(16-x^(2)) defined on

    Text Solution

    |

  2. The domain of (1)/(sqrt(x-x^(2)))+sqrt(3x-1-2x^(2)) is

    Text Solution

    |

  3. The domain of sqrt(x-3)/(x+3)+sqrt(2-x)/(2+x) is

    Text Solution

    |

  4. The domain of Cos^(-1).(x-3)/(2)-log(10(4-x) is

    Text Solution

    |

  5. The domain of f(x)=log(10)(sqrt(x-4)+sqrt(6-x)) is

    Text Solution

    |

  6. The domain of f(x)=.^((9-x))P(x-4) is

    Text Solution

    |

  7. If the function y=f(x) is defined by 2^(x)+2^(y)=2 then the domain of ...

    Text Solution

    |

  8. The function tranforms x into y. If y=sqrt(2x+1) and range of yis {y:0...

    Text Solution

    |

  9. If A is the set of all x such that (2x+1)/(2x^(3)+3x^(2)+x)gt0 then A ...

    Text Solution

    |

  10. The maximum possible domain and corresponding range for f(x)=(-1)^(x) ...

    Text Solution

    |

  11. Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|...

    Text Solution

    |

  12. Find the domain and range of the real valued function f(x) = (2+x)/(2-...

    Text Solution

    |

  13. If f:[2, 3] rarr RR is defined by f(x)=x^(3)+3x-2, then the range f(x)...

    Text Solution

    |

  14. The range of f(x)=5cos x-12 sin x+7 is

    Text Solution

    |

  15. If f:R rarrS, defined by f(x)=sinx-sqrt3cos x+1, is onto, then the int...

    Text Solution

    |

  16. If A=cos^(3)theta, for all real value of theta, then

    Text Solution

    |

  17. The range of sin^(2)x+cos^(4)x is

    Text Solution

    |

  18. The function f:R rarrR defined by f(x)=cos^(2)x+sin^(4)x" for " x in R...

    Text Solution

    |

  19. The range of sec^(2)x+"4 cosec"^(2)x is

    Text Solution

    |

  20. The range of 5Cos^(-1)(3x) is

    Text Solution

    |