Home
Class 12
MATHS
A function f:[0,oo)to[0,oo) defined as f...

A function `f:[0,oo)to[0,oo)` defined as `f(x)=(x)/(1+x)` is :

A

one-one and onto

B

one-one but not onto

C

onto but not one-one

D

neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

The function f:[0,3)to[1,29] , defined by: f(x)=2x^(3)-15x^(2)+36x+1 , is :

If the function f(x) defined as f(x) = (x^(100))/(100) + (x^(99))/(99) +….+(x^(2))/(2) + x + 1 , then f'(0) =

If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

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

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

f: R to R and g: [0,oo)to R is defined by f(x) = x^(2) and g(x) = sqrtx . Which one of the following is not true?

If R, is the set of all non-negative real numbers prove that the f : R, to [-5, oo) defined by f(x) = 9x^(2) + 6x - 5 is invertible. Write also f^(-1)(x) .

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

If the function f is defined by f(x)=(x)/(1+|x|) , then at what points is f differntiable ?

Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=b , then f is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If f(x)=log ((1+x)/(1-x)), then

    Text Solution

    |

  2. Let function f:RtoR be defined by f(x)=2x+sinx for x inR. Then f is :

    Text Solution

    |

  3. A function f:[0,oo)to[0,oo) defined as f(x)=(x)/(1+x) is :

    Text Solution

    |

  4. The function f(x)=log(x+sqrt(x^(2)+1)) is :

    Text Solution

    |

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

    Text Solution

    |

  6. Let R be the set of all real numbers. A relation R has been defined on...

    Text Solution

    |

  7. If f = R rightarrow R is defined by f(x) = |x|, then,

    Text Solution

    |

  8. A set A has 5 element. Then the maximum number of relations on A (incl...

    Text Solution

    |

  9. If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=

    Text Solution

    |

  10. R is a relation on N given by R={(x,y)|4x+3y=20} . Which of the fol...

    Text Solution

    |

  11. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

  12. Define a relation R on A ={1,2,3,4} as xRy iff x divides y. Then R is ...

    Text Solution

    |

  13. Let R be an equivalence relation defined on a set containing 6 element...

    Text Solution

    |

  14. The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) whe...

    Text Solution

    |

  15. The value of alpha(ne0) for which the function f(x)=1+alphax is the in...

    Text Solution

    |

  16. The number of one-one and onto mapping from A to B, where n(A)=6andn(B...

    Text Solution

    |

  17. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  18. If f:RtoS defined by : f(x)=sinx-sqrt(3)cosx+1, is onto, then the inte...

    Text Solution

    |

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

    Text Solution

    |

  20. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |