Home
Class 12
MATHS
Find domain and range of following funct...

Find domain and range of following function: `y=(x^(2)-2x+5)/(x^(2)+2x+5)`

Text Solution

Verified by Experts

The correct Answer is:
domain R;range `[(3-sqrt(5))/2,(3+sqrt(5))/2]`
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise HLP_TYPE|42 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Find domain and range of following function: y=1/(sqrt(x^(2)-x))

Find the domain and range of the following functions: (x^(2)-4)/(x-2)

Find the domain and range of the following functions: (x^(2))/(1+x^(2))

Find the domain and range of the following functions: (x-3)/(2-x)

Find the domain and range of the following function f(x)=x^2+2

Find the domain and range of the following functions: sqrt(2-x)

Find the domain and range of the following functions: sqrt(1-x^(2))

Find the range of following functions : y = (2x- x^2)

Find the domain and range of the following f(x)=3/(2-x^2)

Find the domain and range of the following f(x)=1/(x^2-1)

RESONANCE-RELATION, FUNCTION & ITF-SSP
  1. Find the domain of following function: f(x)=sqrt(1-x)-"sin^(-1)((2x-1)...

    Text Solution

    |

  2. Find domain and range of following function: y=x^(3)

    Text Solution

    |

  3. Find domain and range of following function: y=(x^(2)-2x+5)/(x^(2)+2x+...

    Text Solution

    |

  4. Find domain and range of following function: y=1/(sqrt(x^(2)-x))

    Text Solution

    |

  5. Following each of the following function find whether it is one-one o...

    Text Solution

    |

  6. f(x)=1/(1+x^(2)),(-oo,0)toR

    Text Solution

    |

  7. f(x)=x^(2)+lnx

    Text Solution

    |

  8. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  9. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  10. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  11. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  12. f(x)=e^x : R^+ ->R and g(x)=x^2-x : R->R Find domain and range of fog...

    Text Solution

    |

  13. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  14. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  15. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  16. Determine f^(-1)(x), if given function is invertible. f:(-oo,1)to(-o...

    Text Solution

    |

  17. Find the value of : cos[(pi)/3-"sin"^(-1)(-1/2)]

    Text Solution

    |

  18. Find the value of : cosec[sec^(-1)(sqrt(2))+cot^(-1)(1)]

    Text Solution

    |

  19. find domain of the following y=sec^(- 1)(x^2+3x+1)

    Text Solution

    |

  20. Find the domain of: y=sin^(-1)((x^(2))/(1+x^(2)))

    Text Solution

    |