Home
Class 12
MATHS
Find whether the following function are ...

Find whether the following function are one-one or many -one & into or onto if `f:DtoR` where `D` is its domain
`f(x)=x+1/x,xepsilon(0,oo)`

Text Solution

Verified by Experts

The correct Answer is:
many–one
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    MOTION|Exercise Exercise - 4 Level-I|10 Videos

  • FUNCTION

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

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-II)|6 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

Find whether the following function are one-one or many -one & into or onto if f:DtoR where D is its domain f(x)=x cos x

Find whether the following function are one-one or many -one & into or onto if f:DtoR where D is its domain f(x)=|lnx|

Find whether the following function are one-one or many -one & into or onto if f:DtoR where D is its domain f(x)=|x^(2)+5x+6|

Find whether the following function are one-one or many -one & into or onto if f:DtoR where D is its domain f(x)=1/(sinsqrt(|x|))

Find whether the following function are one-one or many -one & into or onto if f:DtoR where D is its domain f(x)=(1+x^(6))/(x^(3))

Find whether f(x) is one- one or many-one & into or onto if f:D rarr R where D is its domain and f(x)=x+1/x.

Find whether f(x) is one-one or many-one &x into or onto if f:D->R where D is its domain.f(x)=(3)/(4)x^(2)-cos pi x

Find whether the following functions are one- one or many-one f(x)=sqrt(1-e^((1)/(x)-1))

Find whether the function are one–one or many–one f(x) = (3x^(2))/(4pi) - cos pi x

MOTION-FUNCTION-Exercise - 3
  1. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  2. Find whether the function are one–one or many–one f(x) = sin 4x , x...

    Text Solution

    |

  3. Find whether the following function are one-one or many -one & into or...

    Text Solution

    |

  4. Find whether the following functions are one-one or many-one f(x)=sqrt...

    Text Solution

    |

  5. Find whether the function are one–one or many–one f(x) = (3x^(2))/...

    Text Solution

    |

  6. Let f: D -> R, where D is its domain. Find whether the following funct...

    Text Solution

    |

  7. Let f: D -> R, where D is its domain. Find whether the following funct...

    Text Solution

    |

  8. Let f: D -> R, where D is its domain. Find whether the following funct...

    Text Solution

    |

  9. Let f: D -> R, where D is its domain. Find whether the following funct...

    Text Solution

    |

  10. Classify the following function f(x) defined in RtoR as injective, sur...

    Text Solution

    |

  11. Classify the following functions f(x) defined in R to R as injective ,...

    Text Solution

    |

  12. Classify the following function f(x) defined in RtoR as injective, sur...

    Text Solution

    |

  13. Q.16 Classify the following functions f(x) defined in RrarrR as inject...

    Text Solution

    |

  14. If f(x) = (x)/(sqrt(1+ x^(2))) , then (fof) (x) =

    Text Solution

    |

  15. Find whether the following functions are even or odd or none f(x) = l...

    Text Solution

    |

  16. Determine whether the following functions are even or odd or neither e...

    Text Solution

    |

  17. Examine whether the function are even or odd or none. f(x) = (x)/(...

    Text Solution

    |

  18. Examine whether the function are even or odd or none. f(x) = ((1 + ...

    Text Solution

    |

  19. Examine whether the function are even or odd or none. f(x) = (sec x...

    Text Solution

    |

  20. The function f(x) = sqrt(1+x+x^2) - sqrt(1- x + x^2) is

    Text Solution

    |