Home
Class 11
MATHS
If f(x)=(4-(x-7)^(3))^(1/5), then f^(-1)...

If `f(x)=(4-(x-7)^(3))^(1/5)`, then `f^(-1)(x)=`

A

`(4+(7-x)^(3))^(1/5)`

B

`root(3)(4-x^(5))+7`

C

`sqrt(4-x^(1/5))-7`

D

`root(3)(4-x)+7`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

If f(x)=Sin^(-1){3-(x-6)^(4)}^(1//3) then f^(-1)(x)=

Let f(x)=(x-3)^(5)(x+1)^(4) then

If f(x)=3x-5 , then f^(-1)(x)

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

If f(x)=(3x-7)/(5x-3) then (fof)(x)=

Let f:[4, infty) to [1, infty) be a function defined by f(x) = 5^(x(x-4)) , then f^(-1)(x) is

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

If the function f: R to R defined by f(x)=(4^(x))/(4^(x)+2), then show that f(1-x)=1-f(x), and hence deduce the value of f((1)/(4))+2f((1)/(2))+f((3)/(4)) .

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. The graph of the function y = f(x) is symmetrical about the line x = 2...

    Text Solution

    |

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

    Text Solution

    |

  3. If f(x)=(4-(x-7)^(3))^(1/5), then f^(-1)(x)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If f: R to R is defined by f(x) =x-[x], then the inverse function f^(-...

    Text Solution

    |

  7. Suppose f(x) =(x+1)^(2) for x ge -1. If g(x) is the function whose gr...

    Text Solution

    |

  8. Let f(x) =(x+1)^2-1,x ge -1 then {x: f(x) =f^(-1)(x) } =

    Text Solution

    |

  9. {x in RR:(2x-1)/(x^(3)+4x^(2)+3x) in RR}=

    Text Solution

    |

  10. The domain of (1)/(sqrt(x-x^(2)))+sqrt(3x-1-2x^(2)) is

    Text Solution

    |

  11. Domain of the real valued function: sqrt(25-9x^(2)) + sqrt(x^(2) + x...

    Text Solution

    |

  12. The domain of f(x) = sqrt((x-3)/(x+3)) + sqrt((2-x)/(2+x)) is

    Text Solution

    |

  13. The domain of f(x) =1/sqrt((x-1)(x-2)(x-3)) is

    Text Solution

    |

  14. The domaini of sqrt((2x+1)/(2x^(3) + 3x^(2) +x)) is:

    Text Solution

    |

  15. The domain of the function f(x)=sqrt([(2x-1)/(x^(2)-10x-11)]) is

    Text Solution

    |

  16. A is the domain of f(x) =1/sqrt(|x|-x) and B is the domain of g(x) = s...

    Text Solution

    |

  17. The domain of f(x) = sqrt(x^(2)-4|x|+3) is

    Text Solution

    |

  18. The domain of the function sqrt((1)/(|cosx|)) is

    Text Solution

    |

  19. Domain of sqrt(x^(2)-[x]^(2)) is:

    Text Solution

    |

  20. The domain of x^((1)/(logx)) is

    Text Solution

    |