Home
Class 12
MATHS
If f:[1,oo)to[1,oo] is defined by f(x)...

If `f:[1,oo)to[1,oo]` is defined by
`f(x)=(1+sqrt(1+4log_(2)x))/(2)`, then `f^(-1)(3)=`

A

0

B

1

C

64

D

`(1+sqrt(5))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)(x) .

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

If f:[0, oo) to [0,oo) is defined by f (x) = (x)/(1+ x) , then f is

If the function f: [2, oo) rarr [-1, oo) is defined by f(x)=x^(2)-4x+3 then f^(-1)(x)=

f : R to (0, oo) defined by f (x) = log _(2) (x). then f ^-1(x)

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. Let f:R to R,g:R to R be differentiable functions such that (fog)(x) =...

    Text Solution

    |

  2. If f:[1,oo)to[1,oo] is defined by f(x)=(1+sqrt(1+4log(2)x))/(2), the...

    Text Solution

    |

  3. If alpha and beta are the greatest divisors of n(n^(2)-1) and 2n(n^(2)...

    Text Solution

    |

  4. Let A=[{:((1)/(6),(-1)/(3),(-1)/(6)),((-1)/(3),(2)/(3),(1)/(3)),((-1)/...

    Text Solution

    |

  5. Let l, m, n in R and A=[{:(1, r, r^(2),l),(r, r^(2),1,m),(r^(2),1,r,n)...

    Text Solution

    |

  6. The following system of equations x+y+z=9, 2x+5y+7z=52 and x+7y+1...

    Text Solution

    |

  7. Z is a complex number such that |z| le 2 and -(pi)/(3)le"amp Z"le(pi)/...

    Text Solution

    |

  8. The points in the argand plane given by Z(1)=-3+5i,Z(2)=-1+6i,Z(3)=-...

    Text Solution

    |

  9. When n=8,(sqrt(3)+i)^(n)+(sqrt(3)-i)^(n)=

    Text Solution

    |

  10. If 2" cis "(7pi)/(5) is one of the values of z^(1//5), then z =

    Text Solution

    |

  11. The set of real values of x for which the inequality |x-1|+|x+1|lt 4 ...

    Text Solution

    |

  12. If the roots of the equation x^(2)+x+a=0 exceed a, then

    Text Solution

    |

  13. If the roots of the equation sqrt((x)/(1-x))+sqrt((1-x)/(x))=(5)/(2) a...

    Text Solution

    |

  14. The equation x^(5)-5x^(3)+5x^(2)-1=0 has three equal roots. If alpha,b...

    Text Solution

    |

  15. If all possible numbers are formed by using the digits 1, 2, 3, 5, 7 w...

    Text Solution

    |

  16. If a is the number of all even divisors and b is the number of all odd...

    Text Solution

    |

  17. If the coefficient of x^(5) in the expansion of (ax^(2)+(1)/(bx))^(13)...

    Text Solution

    |

  18. For n in N, in the expansion of (root(4)(x^(-3))+a root(4)(x^(5)))^(n)...

    Text Solution

    |

  19. If (x^(4)+x^(3)+2x^(2)-2x+1)/(x^(3)+x^(2)) =P(x)+(A)/(x)+(B)/(x^(2))...

    Text Solution

    |

  20. If A(n)=sin^(n)alpha+cos^(n)alpha, then A(1)A(4)+A(2)+A(5)=

    Text Solution

    |