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

`log_(10)(2-x)`

B

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

C

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

D

`(1)/(4)log.(2x)/(2-x)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

The domain of (10^(x) +10^(-x))/(10^(x)-10^(-x)) is:

If f(x) =(10^(x)-10^(-x))/(10^(x) +10^(-x)) then f^(-1)(x) =

The range of f(x)=10-|3-2x| is

The range of f(x)=3x^(2)+7x+10 is

The domain of f(x)=(3)/(4-x^(2))+log_(10)(x^(3)-x) is

The domain of log_(10)(x^(3)-x) is

If f(x) =(10-x^(7))^(1//7) , then fof(x)=

The value of int_(-10)^(10) (3^(x))/(3^([x]))dx is equal to

The domain of: f(x) =log((x-5)/(x^(2)-10x + 24)) - root(3)(x+5) is:

Minimum value of f(x)=(x-1)^(2)+(x-2)^(2)+..+(x-10)^(2) occurs at x=

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. If f(x) is defiend on [0, 1] as f(x)={{:(x","," if "x in Q),(1-x","," ...

    Text Solution

    |

  2. If f(x)=(1)/(2)[3^(x)+3^(-x)], g(x)=(1)/(2)[3^(x)-3^(-x)] then f(x)g(y...

    Text Solution

    |

  3. If f: A to B, g:B to C are two bijective functions then prove that gof...

    Text Solution

    |

  4. If f:A to B is a bijective function then prove that (ii) f^(-1) of =...

    Text Solution

    |

  5. To have inverse for the funciton f, f is

    Text Solution

    |

  6. f:RrarrR is a function defined by f(x)=10x-7. If g=f^(-1) then g(x)=

    Text Solution

    |

  7. If f:R rarrR is defined by f(x)=(2x+1)/(3) then f^(-1)(x)=

    Text Solution

    |

  8. Let f"":""NvecY be a function defined as f""(x)""=""4x""+""3 , wher...

    Text Solution

    |

  9. If f:R-{5//2}rarr R-{-1} defined by f(x)=(2x+3)/(5-2x) then f^(-1)(x)=

    Text Solution

    |

  10. If f:R rarr R^(+) such that f(x)=(1//3)^(x), then f^(-1)(x)=

    Text Solution

    |

  11. If f:[1, oo)rarr[2, oo) is given by f(x)=x+(1)/(x) then f^(-1)(x)=

    Text Solution

    |

  12. If f:R^(+)rarrR such that f(x)=log(3)x then f^(-1)(x)=

    Text Solution

    |

  13. If f:{1, 2, 3,……}rarr{0, pm1, pm2, …..} is defined by f(x)={{:(n//2,"...

    Text Solution

    |

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

    Text Solution

    |

  15. Let f:DtoR, where D is the domain of f. Find the inverse of f if it ex...

    Text Solution

    |

  16. If f[1, oo)rarr[1, oo) is defined by f(x)=2^(x(x-1)) then f^(-1)(x)=

    Text Solution

    |

  17. If f(x)=x-x^(2)+x^(3)-x^(4)+….oo when |x| lt 1 then f^(-1)(x)=

    Text Solution

    |

  18. If f:R rarr R, g:R rarr R are defined by f(x)= 5x-3,g(x)=x^(2)+3, then...

    Text Solution

    |

  19. If f:R rarr and g:R rarr R are defined by f(x)=3x-4 and g(x)=2+3x then...

    Text Solution

    |

  20. If f(x)=(x+1)^(2)-1, x ge -1 then the set S={x, f(x)=f^(-1)x} is

    Text Solution

    |