Home
Class 12
MATHS
If f(x) = (1)/(1-x), show that f(f(x)) =...

If f(x) = `(1)/(1-x)`, show that f(f(x)) = x

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If f (x)= (1+x)/(1-x) , show that f (f (tan theta))=- cot theta .

If f(X) = (ax-b)/(bx-a) , show that f(f(x)) = x

If f(x) = x/(x-1) , then show that fof (x) = x.

If f(x) =x/(x-1) then show that (fof)(x) = x.

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

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

If f(x)=log(x/(x-1)) , show that f(x+1)+f(x)=log ((x+1)/(x-1))

If A = [(1,2),(2,1)], f(x) = x^(2) - 2 x - 3 , show that f(A) = 0

If A = [(2,3),(-1,2)] f(x) = x^(2) - 4x + 7 show that f(A) = 0

Let A =R- {2} and B=R - {1}. If f ArarrB is a function defined by f(x) = (x-1)/(x-2) , show that f is one -one and onto, hence find f^(-1)

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. If f (x) = (a-x^n)^(1//n) prove that f(f(x)) = x

    Text Solution

    |

  2. If f(X) =(ax-b)/(bx-a), show that f(f(x)) = x

    Text Solution

    |

  3. If f(x) = (1)/(1-x), show that f(f(x)) = x

    Text Solution

    |

  4. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

    Text Solution

    |

  5. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

    Text Solution

    |

  6. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2) and g = (1,3...

    Text Solution

    |

  7. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

    Text Solution

    |

  8. Let A = (1,2,3,5), let f = f = (1,5), (2,1), (3,3), (5,2)) and g = ((1...

    Text Solution

    |

  9. Let f(X) = 3-4 x for all xin R. Find g : R rarr R such that gof = 1R=f...

    Text Solution

    |

  10. Let f : R rarr R be defined as f(x) = 7x - 3. Find the function g: R ...

    Text Solution

    |

  11. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

    Text Solution

    |

  12. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

    Text Solution

    |

  13. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

    Text Solution

    |

  14. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

    Text Solution

    |

  15. If f(x) = sin x and g (X) = 3x. Describe gof and fog. Are these functi...

    Text Solution

    |

  16. If f(x) = sin x and g (X) = 3x. Describe fog. Are these functions equa...

    Text Solution

    |

  17. If f(x) = 2x + 3 and g (X) = x^2 + 1, describe the functions fog Also...

    Text Solution

    |

  18. If f(x) = 2x + 3 and g (X) = x^2 + 1, describe the functions gof Also ...

    Text Solution

    |

  19. If f(x) = 2x + 3 and g (X) = x^2 + 1, describe the functions fof Also ...

    Text Solution

    |

  20. If f(x) = 2x + 3 and g (X) = x^2 + 1, describe the functions ff. Also ...

    Text Solution

    |