Home
Class 12
MATHS
f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x...

`f : R -> R`, where `f(x)=(x^2+ax+1)/(x^2+x+1)` Complete set of values of 'a' such that `f (x)` is onto, is

A

`(-oo,oo)`

B

`(-oo,0)`

C

`(0,oo)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-I)|33 Videos
  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-II)|6 Videos
  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos
  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos
  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

Similar Questions

Explore conceptually related problems

f:R rarr R, where f(x)=(x^(2)+ax+1)/(x^(2)+x+1) Complete set of values of 'a' such that f(x) is onto,is

f:R rarr R where f(x)=(x^(2)+3x+6)/(x^(2)+x+1), then f(x) is

Let f:R rarr R, where f(x)=x^(3)-ax,a in R. Then set of values of 'a'so that f(x) is increasing in its entire domain is

Let f:R rarr[0,(pi)/(2)) defined by f(x)=Tan^(-1)(x^(2)+x+a) then the set of values of a for which f is onto is

f:R rarr R defined by f(x)=(x^(2)+x-2)/(x^(2)+x+1) is

f:R rarr R defined by f(x)=(x^(2)+x-2)/(x^(2)+x+1) is:

Let f:R rarr R be given by f(x)=(x-1)^(2)+1,xge1 . Then the set of values of x for which f(x)=f^(-1)(x) is given by

Let f(x)=(ax^(2)+2x+1)/(2x^(2)-2x+1) FIdn the value of a if f:R rarr[-1,2] is onto

Let f:r rarr R, where f(x)=2^(|x|)-2^(-x) then f(x) is

MOTION-FUNCTION-Exercise - 1 ( JEE Main)
  1. If f(x) = (4a-7)/3 x^3+(a-3)x^2 +x+5 is one-one function

    Text Solution

    |

  2. The function f : (-oo, 3] to (o,e ^(7)] defined by f (x)=e ^(x^(3)-3x^...

    Text Solution

    |

  3. f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of ...

    Text Solution

    |

  4. The function f(x)=log((1+sinx)/(1-sinx)) is

    Text Solution

    |

  5. It is given that f(x) is an even function and satisfy the relation f(x...

    Text Solution

    |

  6. If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx ,...

    Text Solution

    |

  7. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

    Text Solution

    |

  8. Fundamental period of f(x)=sec(sin x) is

    Text Solution

    |

  9. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  10. Let f(x)=x(2-x), 0<=x<=2. If the definition of f is extended over the ...

    Text Solution

    |

  11. The peroid of the function f(x) =(|sinx|-|cosx|)/(|sin x + cosx|) i...

    Text Solution

    |

  12. Which of the following is implicit functions -

    Text Solution

    |

  13. I fy=f(x) satisfies the condition f(x+1/x)=x^2+1/(x^2)(x!=0) then f(x...

    Text Solution

    |

  14. If f(x) = a(x^n +3), f(1) = 12, f(3) = 36, then f(2) is equal to

    Text Solution

    |

  15. Let f:(2,4)->(1,3) be a function defined by f(x)=x-[x/2], thenf^(-1)(x...

    Text Solution

    |

  16. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

    Text Solution

    |

  17. A function f : R->R satisfies the condition x^2f(x)+f(1-x)=2x-x^4. The...

    Text Solution

    |

  18. Let f(x) = abs(x – 1). Then :

    Text Solution

    |

  19. Let g(x) = 1 + x – [x] and f(x)={:{(-1,if,xlt0),(0,if, x=0),(1,if,x gt...

    Text Solution

    |

  20. Let f: [0, 1] to [1, 2] defined as f(x) = 1 + x and g : [1, 2] to [0, ...

    Text Solution

    |