Home
Class 11
MATHS
If f(x) = 1/(1-x), then f[f{f(x)}] is...

If f(x) = `1/(1-x)`, then f[f{f(x)}] is

A

a) 0

B

b) x

C

c) -x

D

d) `1/(1 + x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    PATHFINDER|Exercise QUESTION BANK|296 Videos

  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

Similar Questions

Explore conceptually related problems

If f(x) = 1/(1+x) , then find f[f{f(x)}] .

If f(x)=(1)/(1-x), show that, f[f{f(x)}]=x

If f(x)=(1-x)/(1+x) , then f(1/x) =

Let f : (-infty,1] rarr (-infty, 1] such that f(x) = x(2 -x), then f^-1 (x) is

If the function f be defined by f(x) =(2x +1)/(1-3x) , then f ^(-1) (x) is-

If f(x)=(1-x)/(1+x), prove that f[f{f(1/x)}]=-f(x)

If f(x)=log((1+x)/(1-x)),t h e n (a) f(x_1)f(x_2)=f(x_1+x_2) (b) f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^2+x) (d) f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2))

If f(x) = (x-1)/(x+1) , then prove that (f(x)-f(y))/(1+f(x)f(y))=(x-y)/(1+xy) .

If f(x)=(1-x)/(1+x), prove that f{f((1)/(x))}=1/x[x ne0]

If f(x)= (Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

PATHFINDER-FUNCTIONS-QUESTION BANK
  1. The range of the function f(x) = sin x + cos x is

    Text Solution

    |

  2. If f(x) = (a^x + a^-x)/2, (a gt 2) then the value of f(x + y)+f(x - y...

    Text Solution

    |

  3. If f(x) = 1/(1-x), then f[f{f(x)}] is

    Text Solution

    |

  4. If f(x) =x^2 and g(x) = sqrtx, then the correct relation will be

    Text Solution

    |

  5. If f(x) = (e^x -e^-x)/(e^x +e^-x) + 2, then the inverse function will ...

    Text Solution

    |

  6. If f(x + 2) = 2x^2 + 5x + 7 , then the value of f(1)

    Text Solution

    |

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

    Text Solution

    |

  8. Domain of definition of f(x) =sin^-1 ((3 - 2x)/5)

    Text Solution

    |

  9. If f(x)=(Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

    Text Solution

    |

  10. If f(x) + 2f(1 - x) =x^2 + 2, forall x in R, then f(x) is

    Text Solution

    |

  11. Let f : (-infty,1] rarr (-infty, 1] such that f(x) = x(2 -x), then f^-...

    Text Solution

    |

  12. Let f be a function such that f(x + y) = f(x) + f(y) forall x , y in R...

    Text Solution

    |

  13. f is a function such that f(x + y) = f(x) .f(y),forall x, y in R , if ...

    Text Solution

    |

  14. Find domain of f(x) = sqrt(1 - sqrt(1-sqrt(1 - x^2))).

    Text Solution

    |

  15. If f(x) = sin x + cos x , g(x) =x^2 - 1 then show that g(f(x)) is inve...

    Text Solution

    |

  16. If f(x) = 4^x/(4^x + 2), then find f(x) + f(1 - x).

    Text Solution

    |

  17. If 2f(x) - 3f(1/x) =x^2 (x ne 0), then find f(2).

    Text Solution

    |

  18. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

    Text Solution

    |

  19. Find the range of f(x)=(x^2 + x +2)/(x^2 + x +1) (-infty lt x lt infty...

    Text Solution

    |

  20. Find the domain of definition of the function f(x) = 1/sqrt(absx + x).

    Text Solution

    |