Home
Class 12
MATHS
Classify the following function f(x) def...

Classify the following function `f(x)` defined in `RtoR` as injective, surjective, both or none.
`f(x)=(x^(2))/(1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
Many-one, into
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

Classify the following function f(x) defined in RtoR as injective, surjective, both or none. f(x)=x|x|

Classify the following functions f(x) defined in R to R as injective , surjective , both or none . f(x) = x^(2)

Q.16 Classify the following functions f(x) defined in R rarr R as injective,surjective,both or none (iv) f(x)=x^(3)-6x^(2)+11x-6

Which one of the following functions f:RtoR is injective?

Classify the following functions as injective, surjective, both or none.DRbbe a function defined by X)f:Rvec R, be a function defined by f(x)= - + 48 73072 – 8x + 18fRRbe a function defined by f(x)=v3 62

Classify f:R rarr R, defined by f(x)=s in^(2)x+cos^(2)x as injection, surjection or bijection.

Classify f:R rarr R, defined by f(x)=sin x as injection,surjection or bijection.

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

Classify f:R rarr R, defined by f(x)=|x| as injection,surjection or bijection.

Classify f:Z rarr Z ,defined by f(x)=x-5 as injection,surjection or bijection.

MOTION-FUNCTION-Exercise - 3
  1. Classify the following function f(x) defined in RtoR as injective, sur...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find out whether the given function is even, odd or neither even nor o...

    Text Solution

    |

  13. If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] deno...

    Text Solution

    |

  14. If f(x) = [{:( x^(2) + sin x , 0 le x lt 1) , (x + e^(-x) , x ge 1):} ...

    Text Solution

    |

  15. Prove that the function defined as, F(x) = {e^(-sqrt(|ln{x}|)) - {x}^(...

    Text Solution

    |

  16. Let a and b be real numbers and let f(x)=a sin x+b root(3)(x)+4,AA x i...

    Text Solution

    |

  17. Find the period of the functions (where [ * ] denotes greatest intege...

    Text Solution

    |

  18. Find the period of the functions (where [ * ] denotes greatest intege...

    Text Solution

    |

  19. Find the period of the functions (where [ * ] denotes greatest intege...

    Text Solution

    |

  20. Find the period of the functions (where [ * ] denotes greatest intege...

    Text Solution

    |