Home
Class 11
MATHS
If f : [0,oo)to [0,oo) and f(x) =(x)/(1+...

If `f : [0,oo)to [0,oo) and f(x) =(x)/(1+x),` then f 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

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise COMPETITVE THINKING|170 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If f:[0,oo]rarr[0,oo) and f(x)=(x)/(1+x) then f( a) one-one and onto (b)one-one but not onto (c)onto but not one-one (d)neither on-one nor onto

If f:[0,oo) to [0,1), " and " f(x)=(x)/(1+x) then check the nature of the function.

The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

If f : ( 0, oo) rarr ( 0, oo) and f ( x ) = ( x )/( 1+ x ) , then f is

If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)) , then f is

f : [0, oo) rArr [0, oo), f(x) = (5x)/(5+x) is

The function f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x) is

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-CRITICAL THINKING
  1. If f (x) =(x+3)/(4x-5) and t =(3+ 5x)/( 4x -1), then f (t) is

    Text Solution

    |

  2. If f = {(1,4), (2,5),(3,5) and g ={(4,8),(5,7),(6,9)}, then gof is

    Text Solution

    |

  3. If f (x) = (x-1)/(x +1) then f (alphax )=

    Text Solution

    |

  4. If f be the greatest integer function and g be the moduls function, th...

    Text Solution

    |

  5. If f : R to , then f (x) =|x| is

    Text Solution

    |

  6. If f : [0,oo)to [0,oo) and f(x) =(x)/(1+x), then f is

    Text Solution

    |

  7. Verify whether the function f : A to B , where A = R - {3} and B = R -...

    Text Solution

    |

  8. If R denotes the set of all real numbers, then the function f : R to R...

    Text Solution

    |

  9. Mapping f : R to R which is defined as f (x) = cos x,x in R will be

    Text Solution

    |

  10. If the domain of the function f(x) = x^2 - 6x + 7 is (- oo,oo), then t...

    Text Solution

    |

  11. Domain of the function f (x) = ((x )/(1+x)) is

    Text Solution

    |

  12. Domain of the function (sqrt(1+x)-sqrt(1-x))/(x ) is

    Text Solution

    |

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

    Text Solution

    |

  14. The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , ...

    Text Solution

    |

  15. Domain and range of f (x) = (|x-3|)/(x-3) are respectively

    Text Solution

    |

  16. Range of the function f (x) = (1)/( 3x +2) is

    Text Solution

    |

  17. The range of the function, f (x) = (1+ x ^(2))/(x ^(2)) is

    Text Solution

    |

  18. Find the range of the function f(x)=x/(1+x^2)

    Text Solution

    |

  19. Range of the function f(x)=(x^2-3x+2)/(x^2+x-6) is

    Text Solution

    |

  20. Range of the function f (x)= sqrt(x ^(2) + x +1) is equal to

    Text Solution

    |