Home
Class 12
MATHS
If f:[1, oo)rarr[2, oo) is given by f(x)...

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

A

`x+sqrt(x^(2)+4)`

B

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

C

`1/2 [ x + sqrt(x^(2)+4)]`

D

`1/2 [ x - sqrt(x^(2)+4)]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

  • QUESTION PAPER 2019(SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|56 Videos

Similar Questions

Explore conceptually related problems

If f: [1, oo) rarr [5, oo) is given by f(x) = 3x + (2)/(x) , then f^(-1) (x) =

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

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

f: [0, oo) rarr [4, oo) is defined by f(x)=I^(2)+4 then f^(-1)(13)=

If f:[1, infty) to [2, infty) is given by f(x) =x+1/x , then f^(-1)(x)=

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

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

If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1) , then f is

If f:[1,infty) to [1, infty) is defined by f(x) =2^(x(x+1)) then f^(-1)(x) =

If f:Rrarr(0,oo) defined by f(x)=5^(x), "then find "f^(-1)(x)

TS EAMCET PREVIOUS YEAR PAPERS-QUESTION PAPER 2019-Mathematics
  1. The domain of the function f(x)=sin^(-1)[log(4)(x/4)]+sqrt(17x-x^(2)...

    Text Solution

    |

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

    Text Solution

    |

  3. If the greatest divisor 30*5^(2n)+4*2^(3n) is p, AA n in N and that o...

    Text Solution

    |

  4. If A=[(0,5),(0,0)] and f(x)=x+x^(2)+...+x^(2018), then f(A)+I=

    Text Solution

    |

  5. If a , b, c are real numbers such that a-b=1, b-c=3, then the number o...

    Text Solution

    |

  6. For what values of 'a' , the system of equations x+y+z=1, 2x+3y+2z=2,...

    Text Solution

    |

  7. If z(n)=(1+isqrt(2))^(n), n in Z, then 1/9 R e (z(4) bar(z)(5))=

    Text Solution

    |

  8. If z=x+iy, then the centre of the circle |(z-3)/(z-2i)|=2, is

    Text Solution

    |

  9. If z is a complex number such that |z+4|ge3, then the smallest value ...

    Text Solution

    |

  10. The real part of z that satisfies iz^(4)+1=0 is

    Text Solution

    |

  11. If x is real, then the interval in which no value of the expression (2...

    Text Solution

    |

  12. The set of all real values of x satisfying the inequalities x^(2)-4x+3...

    Text Solution

    |

  13. If the roots alpha, beta , gamma of the equation x^(3)-6x^(2)+px+10=0a...

    Text Solution

    |

  14. alpha, beta , gamma are the roots of the cubic equation x^(3)+p(1)x^(2...

    Text Solution

    |

  15. The number of 4 letter permutations formed with English alphabet such ...

    Text Solution

    |

  16. A student is asked to answer 10 out of 13 questions is an examination...

    Text Solution

    |

  17. If the 17^(th) and the 18^(th) terms in the expansion of (2+a)^(50) ar...

    Text Solution

    |

  18. If the k^(th) term in the expansion of (3/2 x^(2)- (1)/(3x))^(6) is in...

    Text Solution

    |

  19. If (27x^(2)+32x+16)/((3x+2)^(2)(1-x))=(A)/(3x+2)+(B)/((3x+2)^(2))+(C)/...

    Text Solution

    |

  20. If the angles of depression of the top and bottom of a short building ...

    Text Solution

    |