Home
Class 12
MATHS
Find the range of f(x)=(x^(2)+14x+9)/(x^...

Find the range of `f(x)=(x^(2)+14x+9)/(x^(2)+2x+3)`, where x `in` R.

Text Solution

Verified by Experts

The correct Answer is:
x = 1
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise (Concept-based single correct answer type questions)|20 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 1 (single correct answer type questions))|80 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

Find the range of f(x)=x^2 +2

Find the range of f(x)=x^(2)-x-3

Find the range of f(x)=(x^(2)+1)/(x^(2)+2)

Find the range of f(x)=x^(2)-2|x|+3

Find the range of f(x)=|x^(2)-3x+2|

Find the range of f(x)=sgn(x^(2)-2x+3)

find the range of f(x)=|x+2|-3

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Numerical Answer Type Questions)
  1. The number of real solution of sqrt(x + 8) + sqrt( x - 1) = 9 is

    Text Solution

    |

  2. If the roots of x^(2) - bx + c = 0 are two consecutive integral multip...

    Text Solution

    |

  3. Suppose, a, b, c lt 0 . If each pair of three quadratic equations. x...

    Text Solution

    |

  4. Suppose alpha, beta are the roots of x^(2) - px + 2 . 89 = 0 and gamm...

    Text Solution

    |

  5. Suppose a,b , c in R. If the equations ax^(2) + bx + c = 0 and 4x^(2) ...

    Text Solution

    |

  6. Suppose f(x) = 2x^(2) - 7 x + 2029 is such that f decreases in the int...

    Text Solution

    |

  7. Suppose 8,2 are roots of x^(2) + ax + beta = 0 and 3, 3 are roots of x...

    Text Solution

    |

  8. Find the range of f(x)=(x^(2)+14x+9)/(x^(2)+2x+3), where x in R.

    Text Solution

    |

  9. If alpha, beta are the roots of the equation 6x^(2) - 5x + 1 = 0 , th...

    Text Solution

    |

  10. Suppose alpha , beta are roots of x^(2) - 2x + 4 = 0 If alpha^(4) + ...

    Text Solution

    |

  11. Roots of equation x^5-5x^4+9x^3-9x^2+5x-1=0 are

    Text Solution

    |

  12. Suppose alpha and beta are the roots of x^(2) + 7x + 3 = 0 . suppose ...

    Text Solution

    |

  13. Let S = { x in R : sqrt(x + 2) - sqrt(x - 2) = sqrt(4x - 2)} If alpha...

    Text Solution

    |

  14. Let S = {x in R : 5^(2 x+1) + 20 x^(2) + 29x + 6 = (11) (5^(x)) + (x)...

    Text Solution

    |

  15. Let alpha and beta are roots x^(2) - 7 . 32 x - 3 =0 and let A(n) = ...

    Text Solution

    |

  16. The sum of two numbers is 22 and product is 120. The numbers are:

    Text Solution

    |

  17. If a, b and c are three distinct real numbers, and ((x - b) (x - c...

    Text Solution

    |

  18. The smallest value of a for which both the roots of the equation x^(2)...

    Text Solution

    |