Home
Class 12
MATHS
consider the function f(x)=(x^(2))/(x^(2...

consider the function `f(x)=(x^(2))/(x^(2)-1)`
If f is defined from `R-{-1,1}rarrR_(1)` then f is

A

injective but not surjective

B

surjective but not inective

C

injective as well as surjective

D

neither injective nor surjective

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=(x)/(x^(2)+1) from R to R is

Consider the function f(x)=(x-3)/(x+1) defined from R-{-1}" to "R-{1} . Prove that f is one-one .

Consider the function f(x)=(x-1)/(x+1) What (f(x)+1)/(f(x)-1) equal to ?

Consider the function f:R -{1} given by f (x)= (2x)/(x-1) Then f'(1) =

Consider the functions f(x) and g(x), both defined from R rarrR and are defined as f(x)=2x-x^(2) and g(x)=x^(n) where n in N . If the area between f(x) and g(x) is 1/2, then the value of n is

consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. f(x) is a/an

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

The function f:R^(+)rarr(1,e) defined by f(x)=(x^(2)+e)/(x^(2)+1) is

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
  1. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  2. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  3. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  4. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  5. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  6. consider the function f(x)=(x^(2))/(x^(2)-1) The interval in which f...

    Text Solution

    |

  7. consider the function f(x)=(x^(2))/(x^(2)-1) If f is defined from R-...

    Text Solution

    |

  8. consider the function f(x)=(x^(2))/(x^(2)-1) f has

    Text Solution

    |

  9. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then The value of x=...

    Text Solution

    |

  10. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int(t)...

    Text Solution

    |

  11. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int(t)...

    Text Solution

    |

  12. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  13. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  14. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  15. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  16. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  17. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  18. Consider f,g and h be three real valued differentiable functions defin...

    Text Solution

    |

  19. Find the intervals in which f(x)=(x-1)^3(x-2)^2 is decreasing

    Text Solution

    |

  20. Consider f,g and h be three real valued differentiable functions defin...

    Text Solution

    |