Home
Class 11
MATHS
The inverse of the function f(x)=(e^x-e^...

The inverse of the function `f(x)=(e^x-e^(-x))/(e^x+e^(-x))+2` is given by

A

`log _(e) ((x-2)/(x-1))^(1/2)`

B

`log _(e) ((x-1)/(3-x)) ^(1/2)`

C

`log _(e) ((x)/(2-x))^(1/2)`

D

`log _(e) ((x-1)/(x+1)) ^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))-1 is

The inverse of the function f(x)=(e^(x)-2e^(-x))/(e^(x)+2e^(-x))+1 is

The range of the function f(x)=e^(x)-e^(-x) is

The inverse of the function y=(e^(2x)-e^(-2x))/(e^(2x)+e^(-2x)) is/an

The function f(x)=e^(-|x|) is

The range of the function f(x)=e^(-x)+e^(x), is

The range of the function f(x)=(e^(x)-1)/(e^(x)+1) is

Integrate the functions (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. Let f: R-{5/4}->R be a function defines f(x)=(5x)/(4x+5). The invers...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The inverse of f(x)=(10^x-10^(-x))/(10^x+10^(-x))=

    Text Solution

    |

  5. The inverset of the function y = (16 ^(x)-16 ^(-x))/(16 ^(x) + 16 ^(-x...

    Text Solution

    |

  6. Let R be the set of real number and the mapping f :R to R and g : R to...

    Text Solution

    |

  7. If f :R to R is defined by f (x) =(x )/(x ^(2) +1), find f (f(2))

    Text Solution

    |

  8. If x ne 1 and f (x) =(x+1)/(x-1) is a real function, then f (f(f(2))) ...

    Text Solution

    |

  9. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

    Text Solution

    |

  10. If f (x) =sin x+cos x, x in (-oo, oo) and g (x) = x^(2), x in (-oo,oo)...

    Text Solution

    |

  11. If f(x)=(1-x)/(1+x), then f[ f(cos2 theta)]=

    Text Solution

    |

  12. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

    Text Solution

    |

  13. If f(x) = (x-1)/(x+1), then f(2) is equal to

    Text Solution

    |

  14. Let f(x)=(alpha x)/(x+1), x ne -1. Then, for what value of alpha " is ...

    Text Solution

    |

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

    Text Solution

    |

  16. If f (x) = 8x ^(3), g (x) =x ^(1/3), then fog (x) is

    Text Solution

    |

  17. If f(x) =2x +1 and g (x) (x-1)/(2) for all real x, then (fog) ^(-1)( (...

    Text Solution

    |

  18. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

    Text Solution

    |

  19. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

    Text Solution

    |

  20. Two functions f:Rrarr R, g:R rarr R are defined as follows : f(x)={{...

    Text Solution

    |