Home
Class 11
MATHS
If f(x) = (e^x -e^-x)/(e^x +e^-x) + 2, t...

If f(x) = `(e^x -e^-x)/(e^x +e^-x) + 2`, then the inverse function will be

A

`1/2 log_e (x-2)/(x-1)`

B

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

C

`1/2 log_e x/(2 - x)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    PATHFINDER|Exercise QUESTION BANK|296 Videos
  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

Similar Questions

Explore conceptually related problems

The inverse function of log_e x is

If f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(-x)) +2, then the value of f ^(-1) (x) is-

If f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2 , then the value of f^(-1)(x) is -

f(x)=e^x-e^(-x) then find f'(x)

intdx/(e^x+e^-x+2)

If f:[0,oo]toR is the function defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(x^2)+e^(-x^2)), then check whether f(x) is injective or not.

int (e^(x)dx)/(e^(2x)+e^(x)-2)

If f(x)=e^x(x-2)^2 then

(e^(x) + e^(-x))dy - (e^(x) - e^(-x)) dx = 0

If f(x)=e^(x)(x-2)^(2) then-

PATHFINDER-FUNCTIONS-QUESTION BANK
  1. If f(x) = 1/(1-x), then f[f{f(x)}] is

    Text Solution

    |

  2. If f(x) =x^2 and g(x) = sqrtx, then the correct relation will be

    Text Solution

    |

  3. If f(x) = (e^x -e^-x)/(e^x +e^-x) + 2, then the inverse function will ...

    Text Solution

    |

  4. If f(x + 2) = 2x^2 + 5x + 7 , then the value of f(1)

    Text Solution

    |

  5. The range of the function f(x)=1/(4 + 2 sinx) is

    Text Solution

    |

  6. Domain of definition of f(x) =sin^-1 ((3 - 2x)/5)

    Text Solution

    |

  7. If f(x)=(Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

    Text Solution

    |

  8. If f(x) + 2f(1 - x) =x^2 + 2, forall x in R, then f(x) is

    Text Solution

    |

  9. Let f : (-infty,1] rarr (-infty, 1] such that f(x) = x(2 -x), then f^-...

    Text Solution

    |

  10. Let f be a function such that f(x + y) = f(x) + f(y) forall x , y in R...

    Text Solution

    |

  11. f is a function such that f(x + y) = f(x) .f(y),forall x, y in R , if ...

    Text Solution

    |

  12. Find domain of f(x) = sqrt(1 - sqrt(1-sqrt(1 - x^2))).

    Text Solution

    |

  13. If f(x) = sin x + cos x , g(x) =x^2 - 1 then show that g(f(x)) is inve...

    Text Solution

    |

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

    Text Solution

    |

  15. If 2f(x) - 3f(1/x) =x^2 (x ne 0), then find f(2).

    Text Solution

    |

  16. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

    Text Solution

    |

  17. Find the range of f(x)=(x^2 + x +2)/(x^2 + x +1) (-infty lt x lt infty...

    Text Solution

    |

  18. Find the domain of definition of the function f(x) = 1/sqrt(absx + x).

    Text Solution

    |

  19. If f : RrarrR such that f(x) = x - [x], where [p] denotes the greatest...

    Text Solution

    |

  20. Find the range of the function f(x) = x^2 + 1/(x^2 + 1).

    Text Solution

    |