Home
Class 12
MATHS
Let f:RtoR be a function defined by : f(...

Let `f:RtoR` be a function defined by : `f(x)=(x^(2)+2x+5)/(x^(2)+x+1)` is :

A

one-one and into

B

one-one and onto

C

many-one and onto

D

many-one and into

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise LATEST QUESTION FOR AIEEE/JEE EXAMINATIONS|4 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos
  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2) , then f is both one-one and onto when B is the interval :

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

Let f : R rarr R be a function defined by f(x) = x^3 + 5 . Then f^-1(x) is

Let f:RtoR be a mapping defined by f(x)=x^(3)+5 , then f^(-1)(x) is equal to :

A function f is defined by f(x) =2x- 5 find f( -3 )

Let f:[2, oo)rarrR be the function defined by f(x)=x^(2)-4x+5 , then the range of f is

Let, f: N rarr R be the function defined by f(x) = (2x-1)/(2) and g : Q rarr R be another function defined by g(x) = x+2 Then gof(3/2) is

The function f(x) is defined by f(x) = (x+2)e^(-x) is

Let f: R to R be a function defined by : f(x)="Min".{x+1,|x|+1} . Then which of the following is true ?

The domain of the function f defined by : f(x)=sqrt(4-x)+(1)/(sqrt(x^(2)-1)) is equal to :

MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
  1. Let x be any real number, then [x+y]=[x]+[y] holds for :

    Text Solution

    |

  2. log(2)(log(3)(log(2)x))=1, then the value of x is :

    Text Solution

    |

  3. Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is...

    Text Solution

    |

  4. Let f(x)=(sqrt(sinx))/(1+root(3)(sinx)). If D is the domain of f, then...

    Text Solution

    |

  5. The domain of the definition of the function y(x) given by the equatio...

    Text Solution

    |

  6. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  7. The domain of definition of f(x)=(log(2)(x+3))/(x^(2)+3x+2) is :

    Text Solution

    |

  8. The domain of sin^(-1)[log(3)((x)/(3))] is :

    Text Solution

    |

  9. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  10. A function f from the set of natural numbers to integers defined by : ...

    Text Solution

    |

  11. Domain of definition of the function : f(x)=(3)/(4-x^2)+log(10)(x^(3)-...

    Text Solution

    |

  12. If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7, then sum...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If f(x)=sinx+cosx,g(x)=x^(2)-1, then g(f(x)) is invertible in the doma...

    Text Solution

    |

  16. The natural domain of the function sqrt(sin^(-1)(2x)+(pi)/(6)),x inR i...

    Text Solution

    |

  17. Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2)...

    Text Solution

    |

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

    Text Solution

    |

  19. Let A and B be two finite sets having m and n elements respectively. I...

    Text Solution

    |

  20. The domain of the function : y=underset(larr"n times"rarr)(log(10)log(...

    Text Solution

    |