Home
Class 11
MATHS
If the function f: RvecA given by f(x)=(...

If the function `f: RvecA` given by `f(x)=(x^2)/(x^2+1)` is surjection, then find `Adot`

A

R

B

[0,1]

C

[0,1]

D

[0,1]

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|10 Videos

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

The function f:R to R given by f(x)=x^(2)+x is

If the function of f:R->A is given by f(x)=(e^x-e^(-|x|))/(e^x+e^(|x|)) is surjection, find A

If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)) , is surjective, then A is equal to

The function f (x) given by f(x) =sin^(-1)((2x)/(1+x^2)) is

The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

Find the derivative of the function f(x) given by f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8) and hence find f^(prime)(1)

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1, 2)dot

If the function f:R rarrA defined as f(x)=tan^(-1)((2x^(3))/(1+x^(6))) is a surjective function, then the set A is equal to

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

OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)...

    Text Solution

    |

  2. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

    Text Solution

    |

  3. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  4. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  5. If f(x) =(x-1)/(x+1)," then f(2x) is:"

    Text Solution

    |

  6. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  7. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

    Text Solution

    |

  8. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

    Text Solution

    |

  9. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |

  10. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |

  11. Which of the following functions is not an are not an injective map(s)...

    Text Solution

    |

  12. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

    Text Solution

    |

  13. Let f (x) =x and g (x) = |x| for all . Then the function satisfying ...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. If f(x)=(ax^(2)+b)^(3), the function g such that f(g(x))=g(f(x)), is g...

    Text Solution

    |

  16. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

    Text Solution

    |

  17. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

    Text Solution

    |

  18. Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(...

    Text Solution

    |

  19. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

    Text Solution

    |

  20. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |