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

Range of the function `f(x)= (x^(2) + x + 2)/(x^(2) + x + 1)` is……

A

[1,3]

B

(3,5)

C

`[1, (7)/(3)]`

D

`[1, (7)/(5)]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|30 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems|34 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise|15 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

Similar Questions

Explore conceptually related problems

Range of the function f(x)= (x+2)/(|x+2|), x ne -2 is……

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

The domain of the function f given by f(x)= (x^(2) + 2x + 1)/(x^(2)-x-6)

Examine the continuity of the function f(x)= x^(3) + 2x^(2)-1 " at " x=1

Range of the function f: R rarr R, f(x)= x^(2) is………

Range of f(x)= (x^(2)-x)/(x^(2)+ 2x) is …….

Find the range of the function f(x)= sqrt(25-x^(2))

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

Find the domain of the function f(x) =(x^(2)+2x+1)/(x^(2)-8x+12)

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

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Textbook based MCQs
  1. Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……

    Text Solution

    |

  2. Domain of the function defined by f(x)= sqrt(5|x|)=x^(2)-6 is…….

    Text Solution

    |

  3. Range of f(x)= (x^(2)-x)/(x^(2)+ 2x) is …….

    Text Solution

    |

  4. Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is……

    Text Solution

    |

  5. f(x)= bx^(2) + cx and d and f(x+ 1) - f(x)= 8x + 3 then…….

    Text Solution

    |

  6. f(x)= 2x^(n) + a. If f(2)= 26 and f(4)= 138 then the value of f(3) is…...

    Text Solution

    |

  7. Domain of the function defined by f(x)= sqrt(x-1) + sqrt(3-x) is…..

    Text Solution

    |

  8. Range of the function f(x)= (x+2)/(|x+2|), x ne -2 is……

    Text Solution

    |

  9. If 2f (x)- 3f((1)/(x))= x^(2) (x ne 0) then f(2)= ……

    Text Solution

    |

  10. The graph of an identity function I(R ): R rarr R is………

    Text Solution

    |

  11. Range of the function f: R rarr R, f(x)= x^(2) is………

    Text Solution

    |

  12. If f: R rarr R, f(x)= x-2, g: R rarr R, g(x)= x + 2 then (f+ g) (x)= …...

    Text Solution

    |

  13. f(x)= x, g(x)= (1)/(x) and h(x)= f(x) g(x). If h(x) = 1 then…….

    Text Solution

    |

  14. If f(x)= (x-3)/(x + 1) then f[f {f(x)}]= …….

    Text Solution

    |

  15. If f(x)= 64 x^(3) + (1)/(x^(3)) and alpha and beta are roots of the e...

    Text Solution

    |

  16. Range of greatest integer function is…….

    Text Solution

    |

  17. f(x)= 3x^(2)-1 and g(x)= 3 + x. If f= g then the value of x is…….

    Text Solution

    |

  18. The function 't' which maps temperature in degree Celsius into tempera...

    Text Solution

    |

  19. A and B are non null sets. Any one out of A and B is infinite then A x...

    Text Solution

    |

  20. Domain of f(x)= sqrt(2-2x-x^(2)) is………

    Text Solution

    |