Home
Class 11
MATHS
If f:[0,1] to [-1,3] defined by f(x) =x^...

If `f:[0,1] to [-1,3]` defined by `f(x) =x^(2)+x+1`, then f is

A

a function

B

one one

C

onto

D

one one onto

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

If f from [-1,1] into [-1,1] defined by f(x) =3x-5 then f is:

If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1) , then f is

If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)(x) .

A={-1,0, 1, 2}, B={2, 3, 6} . If f from A into B defined by f(x)=x^(2)+2 , then f is

If f: R to R is defined by: f(x-1) =x^(2) + 3x+2 , then f(x-2) =

If f:[0, oo) to [0,oo) is defined by f (x) = (x)/(1+ x) , then f is

If the function f: [2, oo) rarr [-1, oo) is defined by f(x)=x^(2)-4x+3 then f^(-1)(x)=

If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3) , then S.T f(x) + f(1//x) = 0 .

If f:[1,infty) to [2, infty) , defined by f(x) = x+1/x , then find f^(-1)(x) .

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. f: R to R is a function defined by f(x) =(e^(|x|) -e^(-x))/(e^(x) + e^...

    Text Solution

    |

  2. If f: R to R defined by f(x) =(e^(x^(2)) -e^(-x^(2)))/(e^(x^(2)) +e^(-...

    Text Solution

    |

  3. If f:[0,1] to [-1,3] defined by f(x) =x^(2)+x+1, then f is

    Text Solution

    |

  4. If f: R to R defined by f(x) =x^(2)-2x-3, then f is:

    Text Solution

    |

  5. If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1), then f is

    Text Solution

    |

  6. If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1), then f(x) is

    Text Solution

    |

  7. Which of the following functions is not injective ?

    Text Solution

    |

  8. The function f: R to R defined by f(x) =x-[x], AA x in R is

    Text Solution

    |

  9. f: R^(+) to R defined by f(x) =2^(x) , x in (0,1), f(x) =3^(x), x in [...

    Text Solution

    |

  10. f: R^(+) to R defined by f(x) = log(e)x, x in (0,1), f(x) =2 log(e) x,...

    Text Solution

    |

  11. Statement -I: f: A to B is one -one and g: B to C is a one-one functio...

    Text Solution

    |

  12. Observe the following Lists: Then the match for List -1 from Lis...

    Text Solution

    |

  13. If f(x) =(e^(x) + e^(-x))/2, then the inverse function of f(x) is:

    Text Solution

    |

  14. If f(x) =(10^(x)-10^(-x))/(10^(x) +10^(-x)) then f^(-1)(x)=

    Text Solution

    |

  15. Let f: [1/2, 1] to [-1,1] is given by f(x) =4x^(3)-3x and f^(-)(x) is ...

    Text Solution

    |

  16. The domain fo f(x)=(1)/(|sinx|+sinx) is

    Text Solution

    |

  17. The domain of the function: f(x) =(tan 2x)/(6 cos x + 2 sin 2x) is:

    Text Solution

    |

  18. The domain of the function f(x) = sqrt("cosec"x-1) is:

    Text Solution

    |

  19. If f(x)=|sinx| has an inverse if its domain is

    Text Solution

    |

  20. Domain of sin^(-1) 5x is:

    Text Solution

    |