Home
Class 12
MATHS
Range of the function f(x) = (x-1)^(5)/(...

Range of the function `f(x) = (x-1)^(5)/(x^(5)-1)` is

A

(1,16]

B

(0, 16]

C

[0, 16]

D

`(0, 0)cup(1,16]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Exercise 1|2 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Exercise 2|3 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise SOLVED PROBLEMS (Subjective)|13 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos

Similar Questions

Explore conceptually related problems

Range of the functions f(x)=(x)/(x-5) is

Range of the function f(x) = (1-x^2)/(1+x^2) is

The range of the function, f (x) = (1+ x ^(2))/(x ^(2)) is

Range of the function f(x)=x^(2)+(1)/(x^(2)+1) is

The range of the function f(x)=(e^(x)-1)/(e^(x)+1) is

The range of the function f(x)=x^(2)+(1)/(x^(2)+1) is

The range of the function f(x)=(x^(2)-1)/(x^(2)+4) is

The range of the function f(x)=(x^(2))/(x^(4)+1) is

FIITJEE-APPLICATION OF DERIVATIVE-SOLVED PROBLEMS (OBJECTIVE)
  1. f(x) is cubic polynomial which has local maximum at x = -1. If f(2) = ...

    Text Solution

    |

  2. The inequality x^(2)-3x gt tan^(-1) x is ture in

    Text Solution

    |

  3. If f(x)=(sin^(2)x-1)^(n) (2+cos^(2)x), then x = pi/2 is a point of

    Text Solution

    |

  4. Let f(x)=int(0)^(x)e^(t)(t-1)(t-2)dt. Then, f decreases in the interva...

    Text Solution

    |

  5. Range of the function f(x) = (x-1)^(5)/(x^(5)-1) is

    Text Solution

    |

  6. Range of the function f(x)= x^(2)-6x+5/x^(2)-5x+6 is

    Text Solution

    |

  7. Range of the function f(x)= x cos( 1/x), xgt1

    Text Solution

    |

  8. If both the critical points of f(x) = ax^(3)+bx^(2) +cx +d are -ve the...

    Text Solution

    |

  9. The least number of imaginary roots of f(x) = ax^(6)+bx^(4)+cx^(2)+dx ...

    Text Solution

    |

  10. Statement -1: f(x) = x^(3)-3x+1 =0 has one root in the interval [-2,2]...

    Text Solution

    |

  11. If the equation x^(2)-3x+|3x-a|le0 is to be satisfied by atleast one x...

    Text Solution

    |

  12. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |

  13. The set of all values of a for which the function f(x)=(a^2-3a+2)(cos...

    Text Solution

    |

  14. The set of all points where f(x) is increasing in (a,b)cup(c, infty) t...

    Text Solution

    |

  15. If f(x) = x^(3) + ax^(2) + bx+c = 0 has three distinct integral roots ...

    Text Solution

    |

  16. Let x and y be positive real numbers such that y^(3) + y le x -x^(3) ...

    Text Solution

    |

  17. Match the following : {:("List - I " , " List - II") ,("(P) If " x^(...

    Text Solution

    |

  18. Which of the following options is the only Correct combination ?

    Text Solution

    |

  19. Which of the following options is the only Correct combination ?

    Text Solution

    |

  20. Which of the following options is the only Correct combination ?

    Text Solution

    |