Home
Class 12
MATHS
Let f(x) = ( 2x+1)/(1-3x), then f^-1 (x)...

Let `f(x) = ( 2x+1)/(1-3x)`, then `f^-1 (x)` =

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (x-1)/(x+1) , then f[1/f(x)] =

Let f(x) = x - 1/x , then f' (-1) is

If f(x) = (1-x)/(1+x) , then f[f(cos x)] =

If f(x) = (x-3)/(x+1) , then f[f{f(x)}] =

If f(x)=(1)/(1-x) then f[f{f(x)}]=

Let, f(x) = int e^(x) (x-1)(x-2) dx , then f(x) decreases in the interval

If f:[1,oo)to[2,oo) is given by f(x)=x+(1)/(x) , then f^(-1)(x) equals :

Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

Let F(x) = f(x) + f(1/x) , where , f(x) = int_1^x (log t)/(1 + t) dt . Then F(e ) equals :

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If n gt= 2 then the number of onto mappings (surjections) that can be ...

    Text Solution

    |

  2. If f : A rarr B is surjective then

    Text Solution

    |

  3. Let f(x) = ( 2x+1)/(1-3x), then f^-1 (x) =

    Text Solution

    |

  4. If A = (x: x = (1)/(y), y in N), where N is the set of natural numbers...

    Text Solution

    |

  5. If f(x) = 1+x^4, then f(x).f((1)/(x))=

    Text Solution

    |

  6. If f(x) = cos(log x), then f((1)/(x)) f((1)/(y) - (1)/(2)[f((x)/(y))+ ...

    Text Solution

    |

  7. Two functions f:R rarr R and g:R rarrR are defined as below f(x) = {(0...

    Text Solution

    |

  8. The domain of the function f(x)=sqrt(2-2x-x^2) is

    Text Solution

    |

  9. If g(x) = 1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) =

    Text Solution

    |

  10. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2 is gi...

    Text Solution

    |

  11. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

  12. The mapping f:R^+ rarr R defined by f(x) = log{10}x, (Where R^+ is the...

    Text Solution

    |

  13. The function f(x) = 10^x from the set R of real numbers to [0,oo) is

    Text Solution

    |

  14. If R denotes the set of all real numbers than the function f : R rarr ...

    Text Solution

    |

  15. If f : N xx N rarr N is such that f (m,n) = m+n, for all n in N, where...

    Text Solution

    |

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

    Text Solution

    |

  17. If f(x) = (1-x)/(1+x), then f[f(cos x)]=

    Text Solution

    |

  18. If f(x) = (x-3)/(x+1), then f[f{f(x)}]=

    Text Solution

    |

  19. If f(x) = x/(x - 1) = 1/y, then f(y)=

    Text Solution

    |

  20. If f(x) = (x-1)/(x+1), then f[1/f(x)]=

    Text Solution

    |