Home
Class 12
MATHS
For function f(x) = (alpha x)/(x+1) , x ...

For function `f(x) = (alpha x)/(x+1) , x ne -1 ` if fof(x) = x then `alpha = ` ..........

A

`sqrt2`

B

`-1`

C

`1/2`

D

`-sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|54 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|19 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Work|66 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 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?

If f(x) = (4x+3)/(6x-4) , x ne 2/(3) , show that fof (x) = x, for all x ne 2/(3) . What is the inverse of f ?

Examine the continuity of the function f(x) = {(|x|.cos ((1)/(x))",","if" x ne 0),(0",","if" x = 0):} at x= 0

If f(x) = {{:((1)/(e^(1//x))",",x ne 0),(0",",x = 0):} then

A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(x ne 0) then f(x) = ........

if F :R to R f (x) = (5 -x^5 )^(1/5) then (fof) (x) =………

If 2f (x)- 3f((1)/(x))= x^(2) (x ne 0) then f(2)= ……

Examine the continuity of the function f(x) = {(|x-a| sin ((1)/(x-a))",","if " x ne a),(0",","if' x = a):} at x=a

Examine the continuity of the function f(x)= {((1-cos(2x))/(x^(2)),"if "x ne 0),(5",","if" x = 0):} at x=0

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(...

    Text Solution

    |

  2. If f(x+ay,x -ay) = axy then f(x,y) = ......

    Text Solution

    |

  3. For function f(x) = (alpha x)/(x+1) , x ne -1 if fof(x) = x then alph...

    Text Solution

    |

  4. For real valued functions f and g, f(x) = 2sin (pi/x) and g(x) = sqrtx...

    Text Solution

    |

  5. The domain of the real value function f(x) = sqrt(5-4x-x^(2))+x^(2)log...

    Text Solution

    |

  6. The domian of sin^(-1)[log(3)(x/3)] is .......

    Text Solution

    |

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

    Text Solution

    |

  8. If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2 then f(X) =..........

    Text Solution

    |

  9. g(x) = 1 + sqrt(x) and f(g(x)) =3 +2sqrtx+x then f(x) = ......

    Text Solution

    |

  10. If real function f(x) =(x+1)^(2) and g(x) =x^(2) +1 then (fog) (-3) = ...

    Text Solution

    |

  11. f(x) = cot^(-1)x: R^(+) rarr (0,pi) and g(x) = 2x-x^(2): R rarrR then ...

    Text Solution

    |

  12. The domian of f is [-5,7] and g(x) = |2x+5| then the domian of (fog) (...

    Text Solution

    |

  13. A set A has 3 elements and a set B has 4 elements . The number of one...

    Text Solution

    |

  14. f: R rarr R , f(x) = (x-1) (x-2)(x-3) then f is ........

    Text Solution

    |

  15. f: N rarr N , f(n) = (n+5)^(2) , n in N , then the function f is ........

    Text Solution

    |

  16. f: [0,oo) rarr [0,oo) , f(x) = x/(1+x) then the function f is ...........

    Text Solution

    |

  17. f(x) =x^3/3+x^2/2+ax +b,AAx inR. If (x) is one one function then the m...

    Text Solution

    |

  18. f(x) = x^(2) - 2x -1, AA x in R, f:(-oo,oo] rarr [b,oo) is one one an...

    Text Solution

    |

  19. f(x) = (e^(x)-e^(-x))/(e^(x)+e^(-x))+2 . The inverse of f(x) is .........

    Text Solution

    |

  20. f:(2,4)rarr(1,3),f(x) = x - [(x)/2] , where [.] is a greatest integer ...

    Text Solution

    |