Home
Class 11
MATHS
The range of the function f(x)=(x^2+x+2)...

The range of the function `f(x)=(x^2+x+2)/(x^2+x+1),x in R ,` is
(a) `(1,oo)` (b) `(1,(11)/7)` (c) `(1,7/3)` (d) `(1,7/5)`

A

`[1, oo)`

B

`(1, oo)`

C

`[1,7/5)`

D

`(1,7/3]`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

Similar Questions

Explore conceptually related problems

The range of the function f(x)=(1+x^2)/x^2 is given by:

The range of the function f(x) = "^(7-x)P_(x-3) is :

Range of function f(x)=1+3cos2x is:

Integrate the functions: 1/sqrt(7-6x-x^2)

Find the range of the following function : f(x)= 1/((2x -3) (x +1)) .

Find the range of the function f(x)=cot^(-1)(log)_(0. 5)(x^4-2x^2+3)

The range of the function f(x)=(e^(x)*logx*5^(x^(2)+2)*(x^(2)-7x+10))/(2x^(2)-11x+12) is

Find the domain of the function : f(x)=1/(sqrt((log)_(1/2)(x^2-7x+13)))

For the function f, f(x)=x^2-4x+7 , show that f '(5)= 2f'(7/2) .

consider the function f(x)=(x^(2))/(x^(2)-1) If f is defined from R-(-1,1)rarrR then f is

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. The domain of sin^-1 [log3 (x//3)] is :

    Text Solution

    |

  2. Find the period of f(x)=sin^(4)x+cos^(4)x.

    Text Solution

    |

  3. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (...

    Text Solution

    |

  4. Let R = {(1, 3), (4, 2), (2, 4), (2, 3) (3, 1)} be a a relation on the...

    Text Solution

    |

  5. If f : R rarr S, defined by : f(x) = sin x-sqrt3 cosx+1 is onto , then...

    Text Solution

    |

  6. The domain of the function : f(x)= (sin^(-1) (x-3))/(sqrt(9-x^2)) is ...

    Text Solution

    |

  7. The range of the function f(x) = "^(7-x)P(x-3) is :

    Text Solution

    |

  8. The graph of the function y = f(x) is symmetrical about the line x = 2...

    Text Solution

    |

  9. If f(x)=sinx+cosx, g(x)=x^(2)-1, then g{f(x)} is invertible in the dom...

    Text Solution

    |

  10. Let R = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12),(12,12), (3,...

    Text Solution

    |

  11. Let f: (-1, 1) rarr B be a function defined by (x)=tan^(-1) frac (2x)(...

    Text Solution

    |

  12. The set S""=""{1,""2,""3,""........ ,""12) is to be partitioned into...

    Text Solution

    |

  13. The largest Interval lying in (-pi/2,pi/2) for which the function : f(...

    Text Solution

    |

  14. Let R be the real number. Consider the following subsets of the plane ...

    Text Solution

    |

  15. If A, B and C are three sets such that AnnB = AnnC and AuuB = AuuC, th...

    Text Solution

    |

  16. For real x, let f (x) =x^3+ 5x + 1, then:

    Text Solution

    |

  17. Consider the following relations: R = {(x, y) | x, y are real numbers ...

    Text Solution

    |

  18. Let S={1, 2, 3,4}. The total number of unordered pairs of disjoint sub...

    Text Solution

    |

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

    Text Solution

    |

  20. Let P = {theta: sin theta- cos theta= sqrt2 cos theta} and Q= {theta: ...

    Text Solution

    |