Home
Class 11
MATHS
If f(x)=a-(1)/(x+b), where a+b=1, then: ...

If `f(x)=a-(1)/(x+b),` where `a+b=1,` then: `(f@f@f)(x)=`

A

x

B

`(ax+b)/(x-a)`

C

`(x-1)/(x+b)`

D

none of these.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos
  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(1)/(x)-1 where x ne 0, then: f(x)+(1)/(f(x+1))=

If f(x)=(1)/(x)-1 where x ne 0, then: f(x)-2.f(2x)=

If f(x)=(1)/(x)-1 where x ne 0, then: f(x)+f(-x)+2=

If f(x-1)=f(x+2) , where f(x)=1+x-x^2 then: x=

If f(x)=ax+b, where f(0)=3 and f(1)=5, then: (a,b)-=

If f(x-1)=f(x+1) , where f(x)=x^2-2x+3 , then: x=

If for non-zero x, a. f (x) + b . F ((1)/(x)) =1/x-5, where a ne b, then f (2) =

If f(x)=ax^2+bx+2 , where f(-1)=7 and f(1)=5, then: f(a,b)-=

If f(x)=(x+1)/(x-1), x ne 1 , find f(f(f(f(f(2)))))

If f(x) is continuous at x=1 , where f(x)=(x^(n)-1)/(x-1) , for x != 1 , then f(1)=

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If f((a x+b)/(x-a))=x, then f^(-1)(x)= (a) x (b) (bx+a)/(x-b) (c) f(...

    Text Solution

    |

  2. If f(x)=(x-3)/(x+1), then: f(x)=(x-3)/(x+1),

    Text Solution

    |

  3. If f(x)=a-(1)/(x+b), where a+b=1, then: (f@f@f)(x)=

    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)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  6. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |

  7. If A={(x, y): y = e^x, x in R} and B={(x,y):y=e^(-2x), x in R}, then

    Text Solution

    |

  8. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

    Text Solution

    |

  9. If f(x)=1-1/x then write the value of f(f(1/x))dot

    Text Solution

    |

  10. If : f(x+1/x)=x^3+1/x^3, where x ne0 then: f(x)=...

    Text Solution

    |

  11. If: AxxB={(1,1),(1,2),(1,3),(2,1),(2,2),(2,3)}, then: A=

    Text Solution

    |

  12. A function f from the set of natural number to integers defined by ...

    Text Solution

    |

  13. If f:RtoR satisfies f(x+y)=f(x)+f(y), for all real x,y and f(1)=m. the...

    Text Solution

    |

  14. If f(n+1)=(2F(n)+1)/2,n=1,3, ,a n dF(1)=2. Then F(101) equals 52 (b) ...

    Text Solution

    |

  15. If : f(x)=root(n)((x^m)), where n inN, is even function then m is

    Text Solution

    |

  16. Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+...

    Text Solution

    |

  17. If f(x) =ax^(2) + bx + c satisfies the identity f(x+1) -f(x)= 8x+ 3 fo...

    Text Solution

    |

  18. If : f(x)=x^2 and g(x)=2^x, then, the solution set of the equation (f@...

    Text Solution

    |

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

    Text Solution

    |

  20. The value of parameter alpha, for which the function f(x) = 1+alpha x,...

    Text Solution

    |