Home
Class 12
MATHS
find the inverse of f(x)= loga(x+sqrt(x^...

find the inverse of `f(x)= log_a(x+sqrt(x^2+1))` `a>0, a!=1`

A

does not exist

B

is `x = log_(1//a)(y+sqrt(y^(2)+1))`

C

is x= sin h (y In a)

D

is x = cosh `(-y In (1)/(a))`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Domain of f(x)=log(1-x)+sqrt(x^(2)-1)

Let f:D rarr R where D is the domain of f then the inverse of f(x)=ln[x+sqrt(1+x^(2))] is

Find the inverse of the function y=log_(a) (x+sqrt(x^(2)+1)), (a gt 0, a ne 1)

The function f(x)=log(x+sqrt(x^(2)+1)), is

MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
  1. Let f:R->R be a function is defined by f(x)=x^2-(x^2)/(1+x^2), then

    Text Solution

    |

  2. Consider the function f(x)=cos x^(2) then

    Text Solution

    |

  3. Let f(x)=x(1)/(x-1)+(1)/(x)+(1)/(x+1) x lt 1 then

    Text Solution

    |

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

    Text Solution

    |

  5. For any real numbers theta and phi we define theta R phi if and only...

    Text Solution

    |

  6. Let X(n)={Z=x+iy:|zA^(2)le(1)/(n)} for all integers n le 1 then unde...

    Text Solution

    |

  7. Let f: N -> R be such that f(1) = 1 and f(1) + 2f(2) + 3f(3) + nf(n), ...

    Text Solution

    |

  8. On set A= {1,2,3}, relation R and S are given by R={(1,1),(2,2),(3,3)...

    Text Solution

    |

  9. Let R be a relation defined on the set of natural numbers N as R={(...

    Text Solution

    |

  10. Statement-1 : For 0 le p lt 1 and for any positive a and b the intequa...

    Text Solution

    |

  11. Let a lt b lt 0 and I(n) =a^(1//n)-b^(1//n),J(n)=(a-b)^(1//n) for al...

    Text Solution

    |

  12. Let f: X rarr Y and A , B are non void subsets of y then where the s...

    Text Solution

    |

  13. Let S,T ,U be three non void sets and f: S rarr T g: T rarr U so ...

    Text Solution

    |

  14. Which of the following real valued functions is/are not even functions...

    Text Solution

    |

  15. A relation p on the set of real number R is defined as follows: x p y ...

    Text Solution

    |

  16. For the function F (x) = [(1)/([x])] , where [x] denotes the greatest...

    Text Solution

    |

  17. Let f: X->X be such that f(f(x)) = x for all x in X and X sube R, t...

    Text Solution

    |

  18. On R, the set of real numbers, a relation p is defined as ‘apb if and ...

    Text Solution

    |

  19. find the inverse of f(x)= loga(x+sqrt(x^2+1)) a>0, a!=1

    Text Solution

    |

  20. Let P and T be the subsets of X-y plane defined by fP={(x,y):x le ...

    Text Solution

    |