Home
Class 12
MATHS
The value of alpha(ne0) for which the fu...

The value of `alpha(ne0)` for which the function `f(x)=1+alphax` is the inverse of itself is :

A

`-2`

B

2

C

`-1`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

the value of alpha (ne 0) for which the function f(x ) = 1+ ax is the inverse of itself is :

The value of the parameter alpha for which the function f(x)=1+alphax,alphane0 , is the inverse of itself is :

Which of the following functions is inverse of itself :

The value of f(0) for which the function : (log_(e) (1-ax) - log_(3) (1-bx))/(x) is continuous at x = 0 is :

If f(x)=1+alphax,alphane0 is the inverse of itself, then the value of alpha is :

The value of f(x) at x = 0, so that the function f(x) = (2^(x)-2^(-x))/x, x ne 0 is continuous at x = 0

The value of f(0) so that the function : f(x) = (sqrt(1 + x) - (1+x)^(1//3))/(x) becomes continuous, is equal to :

If f(x)=x^(alpha) logx and f(0)=0 , then the value of alpha for which Roll's theorem can be applied in [0, 1] is :

Show that -a is the inverse of a for the addition opertion '+' on R and 1/a is the inverse of a ne 0 for the multiplication opertion 'x' on R.

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let R be an equivalence relation defined on a set containing 6 element...

    Text Solution

    |

  2. The range of the function f(x) = sin [x], -(x)/(4) lt x lt (x)/(4) whe...

    Text Solution

    |

  3. The value of alpha(ne0) for which the function f(x)=1+alphax is the in...

    Text Solution

    |

  4. The number of one-one and onto mapping from A to B, where n(A)=6andn(B...

    Text Solution

    |

  5. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  6. If f:RtoS defined by : f(x)=sinx-sqrt(3)cosx+1, is onto, then the inte...

    Text Solution

    |

  7. Let f:(-1,1)toB be a function defined by : f(x)=tan^(-1)""(2x)/(1-x^2)...

    Text Solution

    |

  8. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  9. For real x, let f(x)=x^(3)+5x+1,, then :

    Text Solution

    |

  10. The domain of the function f(x)=(1)/(sqrt(|x|-x)) is :

    Text Solution

    |

  11. Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...

    Text Solution

    |

  12. Let f(x)=(alphax)/(x+1),xne0, then for what value of alpha is f[f(x)]...

    Text Solution

    |

  13. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  14. If f(x) = {(x, if \x \ is \rational),(0,if \ x \ is \ irrational):} ...

    Text Solution

    |

  15. Let, f:(0,1) rarr R be defined by f(x)=(b-x)/(1-b x)where b is a con...

    Text Solution

    |

  16. Which of the following is (A-B) uu(B-A)

    Text Solution

    |

  17. If A and B are any two sets then A nn (A uu B)' =

    Text Solution

    |

  18. Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

    Text Solution

    |

  19. The image of the interval [-1,3] under the mapping f: R rarr R given b...

    Text Solution

    |

  20. The number of functions that can be formed from the set A={a, b, c, d}...

    Text Solution

    |