Home
Class 11
MATHS
Let f(x)=(alpha x)/(x+1), x ne -1. Then,...

Let `f(x)=(alpha x)/(x+1), x ne -1.` Then, for what value of `alpha " is " f[f(x)]=x` ?

A

`sqrt2`

B

`-sqrt2`

C

`1`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(alphax)/(x+1),x ne -1 . Then, for what values of alpha is f[f(x)]=x?

Let f(x)=(alpha x)/((x+1)),x!=-1. The for what value of alpha is f(f(x))=x( a )sqrt(2)(b)-sqrt(2)(c)1

Let f(x)=(alpha x)/(x+1),x!=-1. Then write the value of alpha satisfing f(f(x))=x for all x!=-1

Let f(x) = (alpha x^(2))/(x + 1), x ne - 1 , The value of alpha for which f(a) = a , (a ne 0 ) is

Let f(x)=(alpha x)/(x+1) Then the value of alpha for which f(f(x)=x is

" Let "f(x)=(alpha x)/(x+1),x!=-1" and "f(f(x))=x" ,then the value of "(alpha^(2))/(2)" is "

Define a function f : R-{9/4}rarr R by f(x)=(3+alpha-1)/(9-4x) The number of values of alpha in R such that f(f(x))=x is

Let f : R - {(alpha )/(6) } to R be defined by f (x) = ( 3x + 3)/(6x - alpha). Then the value of alpha for which (fof) (x) = x , for all x in R -{(alpha)/(6)}, is :

Define a function f:R-{9/4}rarr R by f(x)=(3+alpha-alpha^(2)x)/(9-4x) The number of values of alpha in R such that f(f(x))=x

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

    Text Solution

    |

  2. If f(x) = (x-1)/(x+1), then f(2) is equal to

    Text Solution

    |

  3. Let f(x)=(alpha x)/(x+1), x ne -1. Then, for what value of alpha " is ...

    Text Solution

    |

  4. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  5. If f (x) = 8x ^(3), g (x) =x ^(1/3), then fog (x) is

    Text Solution

    |

  6. If f(x) =2x +1 and g (x) (x-1)/(2) for all real x, then (fog) ^(-1)( (...

    Text Solution

    |

  7. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

    Text Solution

    |

  8. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

    Text Solution

    |

  9. Two functions f:Rrarr R, g:R rarr R are defined as follows : f(x)={{...

    Text Solution

    |

  10. If f:R->R and g:R->R is given by f(x) =|x| and g(x)=[x] for each x in ...

    Text Solution

    |

  11. Let the function f, g, h are defined from the set of real numbers RR t...

    Text Solution

    |

  12. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

    Text Solution

    |

  13. Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x sat...

    Text Solution

    |

  14. Let f,g: RvecR be a two function defined as f(x)=|x|+xa n dg(x)=|x|-x ...

    Text Solution

    |

  15. The period of f (x) =x - [x], if it is periodic is

    Text Solution

    |

  16. If f: R rarr R be defined by f(x) =e^(x) and g:R rarr R be defined b...

    Text Solution

    |

  17. If f: R to R be defined by f(x) =(1)/(x), AA x in R. Then , f is

    Text Solution

    |

  18. If f : A to B is bijection and g : B to A is that inverse of f, then ...

    Text Solution

    |

  19. If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to...

    Text Solution

    |

  20. A is a set having 6 distinct elements. The number of distinct function...

    Text Solution

    |