Home
Class 11
MATHS
Let the function f be defined by f(x) = ...

Let the function `f` be defined by `f(x) = ((2x +1) / (1-3x))` then `f^-1 (x)` is

A

`(x-1)/(3x+2)`

B

`(3x+2)/(x-1)`

C

`(x+1)/(3x-2)`

D

none of these.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos
  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

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

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

If the function, f:[1,oo]to [1,oo] is defined by f(x)=3^(x(x-1)) , then f^(-1)(x) is

A function f defined by f(x)=In(sqrt(x^(2)+1-x)) is

Let f:(2,4)rarr(1,3) be a function defined by f(x)=x-[(x)/(2)], then f^(-1)(x) is equal to:

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

Let f:(-oo,2] to (-oo,4] be a function defined by f(x)=4x-x^(2) . Then, f^(-1)(x) is

If a function f(x) is defined as f(x)={-x,x 1 then

Let a function f:(1, oo)rarr(0, oo) be defined by f(x)=|1-(1)/(x)| . Then f is

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If f(x)=(2x+15)/(3), then: f^-1(x)=

    Text Solution

    |

  2. If f(x)=(1-x)/(1+x), where x ne -1, then: f^-1(x)=

    Text Solution

    |

  3. Let the function f be defined by f(x) = ((2x +1) / (1-3x)) then f^-1 (...

    Text Solution

    |

  4. If f(x)=x-x^2+x^3-x^4+... where |x| lt 1, then: f^-1(x)=

    Text Solution

    |

  5. If f(x)=(3x)/(7)+2 for all x in R, then: f^-1(1)=

    Text Solution

    |

  6. If f(x)=(2x)/(5)-3 for all x in R then: f^(-1)(-5)=

    Text Solution

    |

  7. If f (x) = (x-1)/( x+1) , then f ((1)/( f (x))) equals

    Text Solution

    |

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

    Text Solution

    |

  9. Formula f(x)=x^2 defines a one-one function when

    Text Solution

    |

  10. If f(x)=x^2, if x ge1,=1, if x lt 1, then

    Text Solution

    |

  11. If f(x)=(1)/(x)-1 where x ne 0, then: f(x)+f(-x)+2=

    Text Solution

    |

  12. If f(x)=(1)/(x)-1 where x ne 0, then: f(x)-2.f(2x)=

    Text Solution

    |

  13. If f(x)=(1)/(x)-1 where x ne 0, then: ((1)/(x))-(1)/(1+f(x))=

    Text Solution

    |

  14. If f(x)=(1)/(x)-1 where x ne 0, then: f(1-x)=

    Text Solution

    |

  15. If f(x)=(1)/(x)-1 where x ne 0, then: f(x)+(1)/(f(x+1))=

    Text Solution

    |

  16. If f(x)=x^2 and g(x)=2x, then

    Text Solution

    |

  17. If g(x) = x^2+x-2and 1/2g(f(x)) = 2x^2 -5x+2, then f(x) is

    Text Solution

    |

  18. If f(x)=x^2+(1)/(x^2), g(x)=x^4+(1)/(x^4) and a+(1)/(a)=3, then the re...

    Text Solution

    |

  19. If f(x)=4x-3, where -3 le x le 1 then the range of the function f is g...

    Text Solution

    |

  20. If f(x)=2x+3, where 1 le x le 2, then the range of the function f is g...

    Text Solution

    |