Home
Class 12
MATHS
Find the domain of definition of f(x)=...

Find the domain of definition of
`f(x)=sqrt(x+1)+sqrt(4-x)`

Text Solution

Verified by Experts

The correct Answer is:
`{x:x inRRand-1lexle4}`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple Correct answer Type|5 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Find the domain of definition of f(x)=sqrt(x-1) +sqrt(2-x)

Find the domain of the function f(x)=sqrt(2x+1)+sqrt(5-x) .

Find the domain of definition of the function f(x)=(1)/sqrt(x^2-4x)

Find the domain of definition of the function f(x) = 1/sqrt(absx + x) .

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

Find the domain of definition of the function f(x)=1/(sqrt(5x-x^2-6))

Find the Domain of definition of the function f(x) = sqrt(log_10 ((3x - x^2)/2) + sqrt( x - 3/2) .

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

Find the domain of definition of the function f(x)=1/(ln(1-x))+sqrt(x+2)

The domain of definition of f(x) = sqrt(log_e ((4x - x^2)/3)) is

CHHAYA PUBLICATION-RELATION AND MAPPING -Long Answer Type Questions
  1. If f(n+1)=(2f(n)+1)/(2),n=1,2,3,... and f(1)=2 then find the value of ...

    Text Solution

    |

  2. The taxi fare is Rs. 3 for 1 km or less from starting point and Rs. 1....

    Text Solution

    |

  3. Find the domain of definition of f(x)=sqrt(x+1)+sqrt(4-x)

    Text Solution

    |

  4. Find the domain of definition of phi(x)=cos^-1.(x-4)/(3)+log(5-x)

    Text Solution

    |

  5. The function f(x) is defined in 0 le x le1, find the domain of definit...

    Text Solution

    |

  6. The function f(x) is defined in 0 le x le1, find the domain of definit...

    Text Solution

    |

  7. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  8. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  9. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  10. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  11. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  12. Find the domain of definition of the function defined by, f(x)=(1)/(l...

    Text Solution

    |

  13. Find the domain of definition of each of the following functions : f...

    Text Solution

    |

  14. Find the domain of definition of each of the following functions : g...

    Text Solution

    |

  15. Find the domain of definition of each of the following functions : h...

    Text Solution

    |

  16. Find the domain of definition of each of the following functions : p...

    Text Solution

    |

  17. Find the range of each of the following functions : f(x)=2-|x-2|

    Text Solution

    |

  18. Find the range of each of the following functions : g(x)=(1)/sqrt(x+...

    Text Solution

    |

  19. Find the range of each of the following functions : h(x)=(|x-3|)/(x-...

    Text Solution

    |

  20. Draw the graphs of the constant functions : f(x)+2 = 0

    Text Solution

    |