Home
Class 12
MATHS
The inverse of f(x)=(10^x-10^(-x))/(10^x...

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

A

`1/2log_(10)(1+x)/(1-x)`

B

`log_(10(2-x)`

C

`1/2log_(10)(2x-1)`

D

`1/4log_(10)(2x)/(2-x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS , RELATIONS AND FUNCTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)|44 Videos
  • QUADRATIC EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (One or More than One Option Correct Type) |7 Videos
  • SOLUTION OF TRIANGLES

    MTG-WBJEE|Exercise WB JEE (Previous Years Questions) CATEGORY 2: Single Option Correct Type|1 Videos

Similar Questions

Explore conceptually related problems

If f:R rarr(-1,1) defined by f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x)) is invertible,find f^(-1)

The inverse of the function (10^(x)-10^(-x))/(10^(x)+10^(-x)) is

The range of f(x)=sqrt((10^(x)-10^(4))/(10^(x)+10^(2))) is

Find the inverse of the function : y=(10^(x)-10^(-x))/(10^(x)+10^(-x))+1

Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(2)=a then g'(2) is equal to

Computer the inverse of the function : y = (10^(x) - 1)/(10^(x) + 1)

Find the derivative of f(x)=10x

MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
  1. The inverse of f(x)=(10^x-10^(-x))/(10^x+10^(-x))=

    Text Solution

    |

  2. Let f : R rarr R be such that f is injective and f(x) f(y ) = f(x+ y...

    Text Solution

    |

  3. We define a binary relationon ~ on the set of all 3 xx 3 real matrices...

    Text Solution

    |

  4. The number of onto functions from the set {1,2,...., 11} to the set {1...

    Text Solution

    |

  5. LEt f(x)=2^(100)x+1 and g(x)=3^(100)x+1 Then the set of real numbers x...

    Text Solution

    |

  6. For any two real numbers a and b, we define a R b if and only if sin^2...

    Text Solution

    |

  7. The minimum value of the function f(x) = 2|x - 1| + |x - 2| is

    Text Solution

    |

  8. Let the number of elements of the sets A and B be p and q respectively...

    Text Solution

    |

  9. Let R be the set of all real numbers and f : Rrarr R be given by f(x) ...

    Text Solution

    |

  10. The function f(x)=x^(2)+bx+c, where b and c are real constants, descri...

    Text Solution

    |

  11. Find the range of the function f(x)=3 sin (sqrt((pi^(2))/(16)-x^(2))).

    Text Solution

    |

  12. There is a group of 265 persons who like either singing or dancing or ...

    Text Solution

    |

  13. The number of real roots of equation log(e )x + ex = 0 is

    Text Solution

    |

  14. If f:[0,pi/2)->R is defined as f(theta)=|(1,tantheta,1),(-tantheta,1,...

    Text Solution

    |

  15. Let f:R-> R be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of ...

    Text Solution

    |

  16. Let S={a,b,c}epsilonNxxNxxN:a+b+c=21,a<=b<=c} and T={(a,b,c)epsilon Nx...

    Text Solution

    |

  17. Let R be a relation defined on the set Z of all integers and x Ry whe...

    Text Solution

    |

  18. if A={5^(n)-4n-1: n in N} and B={16(n-1):n in N} then

    Text Solution

    |

  19. If the function R to R is defined by f(x)=(x^2+1)^(35)AA in R then f ...

    Text Solution

    |

  20. Let P be the set of all non-singular matrices of order 3 over ú and Q ...

    Text Solution

    |

  21. On the set R of real numbers we defined xPy i and only if xylt 0. T...

    Text Solution

    |