Home
Class 12
MATHS
If the function,f:[1,oo]to [1,oo] is def...

If the function,`f:[1,oo]to [1,oo]` is defined by `f(x)=3^(x^(x-1))`, then `f^(-1)(x)` is

A

`1/2(1-sqrt(1+4 log_(3)x))`

B

`1/2(1-sqrt(1+4 log_(3)x))`

C

`1/2(1+sqrt(1+4log_(3)x))`

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|20 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

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

Let f:[4,oo)to[4,oo) be defined by f(x)=5^(x^((x-4))) .Then f^(-1)(x) is

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

If f:[1,oo)rarr[1,oo) is defined as f(x)=3^(x(x-2)) then f^(-1)(x) is equal to

The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

If f:[1, oo) rarr [2, oo) is defined by f(x)=x+1/x , find f^(-1)(x)

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. Let A={x(1),x(2),x(3)....,x(7)},B={y(1)y(2)y(3)}. The total number of ...

    Text Solution

    |

  2. If f(x)+2f((1)/(x))=3x, x ne 0 and S={x in R: f(x) = f(-x)}, " then ...

    Text Solution

    |

  3. If the function,f:[1,oo]to [1,oo] is defined by f(x)=3^(x^(x-1)), then...

    Text Solution

    |

  4. For x in R , x ne0, 1, let f(0)(x)=(1)/(1-x) and f(n+1)(x)=f(0)(f(n)...

    Text Solution

    |

  5. The function f: Rvec[-1/2,1/2] defined as f(x)=x/(1+x^2), is : Surject...

    Text Solution

    |

  6. Let a, b, c in R. If f (x) = ax^(2) + bx + c is such that a + b + c = ...

    Text Solution

    |

  7. let f(x)=2^(10)x+1 and g(x)=3^(10)x+1. If fog(x)=x, then x is equal to

    Text Solution

    |

  8. The function f:N->N defined by f(x)=x-5[x/5] where N is a set of natur...

    Text Solution

    |

  9. Let Z be the set of integers. If A = {x in Z : 2(x + 2)(x^(2) - 5x + 6...

    Text Solution

    |

  10. Let N denotes the set of all natural numbers. Define two binary relati...

    Text Solution

    |

  11. Consider the following two binary relations on the set A={a,b,c} R(1...

    Text Solution

    |

  12. Two sets A and B are as under A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt...

    Text Solution

    |

  13. Let S = {x in R: x ge0 and 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0} The...

    Text Solution

    |

  14. Let f: A->B be a function defined as f(x)=(x-1)/(x-2), where A=R-{2) a...

    Text Solution

    |

  15. For x in R-{0,1}, " let " f(1)(x)=(1)/(x), f(2)(x)=1-x and f(3)(x)=(1)...

    Text Solution

    |

  16. Let f(x)=a^(x)(a gt 0) be written as f(x)=f(1)(x)+f(2)(x), " where " f...

    Text Solution

    |

  17. Let A ={x in R : x is not an integer} Define f : A to R as f(x) = (2x)...

    Text Solution

    |

  18. Let N be the set of numbers and two functions f and g be defined as f,...

    Text Solution

    |

  19. Let a function f:(0,infty)to[0,infty) be defined by f(x)=abs(1-1/x). T...

    Text Solution

    |

  20. Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the ra...

    Text Solution

    |