Home
Class 12
MATHS
If f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"t...

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

A

`1/2log_{2},((x)/(1-x))`

B

`1/2log_{2},((1+x)/(1-x))`

C

`1/2log_{2},((1+x)/(x))`

D

`1/2log_{2},((2+x)/(2-x))`

Text Solution

Verified by Experts

The correct Answer is:
B
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^(2)-x)/(x^(2)+2x) , then d/dx [f^(-1)(x)] =

f(x) = ((e^(2x)-1)/(e^(2x)+1)) is

If f(x) = (x-4)/(2sqrt(x)) , then f^(')(1) is

If f(x) = 1/x^(2) int_2^(x)[t^(2)+f^(')(t)]dt, then f^(')(2) =

If f(x)cosx dx=(1)/(2)f^(2)(x)+c , then f(x) is :

If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))/((x^(2)+3)) , then int_(-2)^(2)g(x)dx=

int (d[f^(2)(x)])/(f(x)+f^2(x)=

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If R denotes the set of all real numbers than the function f : R rarr ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The number of bijective functions from the set A to itself, if A conta...

    Text Solution

    |

  9. If f: R rarr R be defined by , f(x) = 10x - 7 and g = f^-1, then g(x...

    Text Solution

    |

  10. Let A be a set containing 10 distinct elements . Then the total number...

    Text Solution

    |

  11. If the set A has 3 elements and the set B has 4 elements, then the nu...

    Text Solution

    |

  12. The number of bijective functions from the set A to itself if a contai...

    Text Solution

    |

  13. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  14. If f(x) = 4x - x^2, then f (a + 1) - f( a - 1) =

    Text Solution

    |

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

    Text Solution

    |

  16. If f(x) = x^2 - 3x + 1 and f (2 alpha) = 2 x f(alpha)=

    Text Solution

    |

  17. The f(x) is such that f(x+y) = f(x) + f(y), for all reals x and y xx...

    Text Solution

    |

  18. If f(x) = 3^1+logx//x^log3, then f(2005) is

    Text Solution

    |

  19. Let f: I rarr I be defined by f(x) = x + k where k is a fixed intege...

    Text Solution

    |

  20. If f: R rarr R be defined by , f(x) = x^2-3x+4, for all x in R then f^...

    Text Solution

    |