Home
Class 12
MATHS
If f:[0,oo)vec[0,oo)a n df(x)=x/(1+x),t ...

If `f:[0,oo)vec[0,oo)a n df(x)=x/(1+x),t h e nf` is one-one and onto one-one but not onto onto but not one-one neither on-one nor onto

A

one-one and onto

B

one-one but onto

C

onto but not one-one

D

neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
B

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise MATCH THE COLUMN|2 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SUBJECTIVE_TYPE|179 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

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

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

Let f: RrarrRa n dg: RrarrR be two one-one and onto function such that they are the mirror images of each other about the line y=a . If h(x)=f(x)+g(x),t h e nh(x) is (a)one-one and onto (b)only one-one and not onto (c)only onto but not one-one (d)neither one-one nor onto

Let the function f: RrarrR be defined by f(x)=2x+sinx for x in Rdot Then f is (a)one-to-one and onto (b)one-to-one but not onto (c)onto but not-one-to-one (d)neither one-to-one nor onto

The function f:[0,3]vec[1, 29], defined by f(x)=2x^3-15 x^2+36 x+1, is one-one and onto onto but not one-one one-one but not onto neither one-one nor onto

Let f: R->R be a function defined by f(x)=(x^2-8)/(x^2+2) . Then, f is (a) one-one but not onto (b) one-one and onto (c) onto but not one-one (d) neither one-one nor onto

Let A be a non- empty set of real numbers and f:A->A be such that f(f(x))=x AA x in R then f(x) is (A) bijection (B) one-one but not onto (C) onto but not one-one (D) neither one-one nor onto

The function f:[0,3]->[1,29] , defined by f(x)=2x^3−15x^2+36x+1 , is (a) one-one and onto (b) onto but not one-one (c) one-one but not onto (d) neither one-one nor onto

The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both one-one and onto (b) not one-one, but onto (c) one-one, but not onto (d) neither one-one, nor onto

If a function f:[2,\ oo)->R defined by f(x)=(x-1)(x-2)(x-3) is (a) one-one but not onto (b) onto but not one-one (c) both one and onto (d) neither one-one nor onto

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Let f : R to F, f (x) =x^(3)+ x ^(2) +3x+ sin x, then f is :

    Text Solution

    |

  2. Find the domain of the function : f(x)=3/(4-x^2)+(log)(10)(x^3-x)

    Text Solution

    |

  3. If f:[0,oo)vec[0,oo)a n df(x)=x/(1+x),t h e nf is one-one and onto one...

    Text Solution

    |

  4. Range of the function f(x)=((x-2)^2)/((x-1)(x-3)) is

    Text Solution

    |

  5. Range of the function f(x)=(x-2)/(x^2-4x+3) is

    Text Solution

    |

  6. Statement -1 If f(x) and g(x) both are one one and f(g(x)) exists, the...

    Text Solution

    |

  7. Statement-1 If y=f(x) is increasing in [alpha,beta], then its range is...

    Text Solution

    |

  8. If the function f(x) and g(x) are defined on R to R such that f(x)=...

    Text Solution

    |

  9. Which of the following pair of functions are identical

    Text Solution

    |

  10. Let f(x) be a function whose domain is [-5,6]. Let g(x)=|2x+5|,then do...

    Text Solution

    |

  11. Let g(x)=1+x-[x]a n df(x)={-1, x<0;0, if x=0;1, ifx >0 . Then for all ...

    Text Solution

    |

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

    Text Solution

    |

  13. The function f(x)=[x]+1/2,x!inI is a/an (wher [.] denotes greatest int...

    Text Solution

    |

  14. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

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

    Text Solution

    |

  16. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

    Text Solution

    |

  17. Find the area below the curve y=[sqrt(2+2cos2x)] but above the x-axis ...

    Text Solution

    |

  18. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))

    Text Solution

    |

  19. If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equal...

    Text Solution

    |

  20. If f:R to R is an invertible function such that f(x) and f^(-1)(x) are...

    Text Solution

    |