Home
Class 11
MATHS
If x ne 1 and f(x) = ( x + 1)/( x - 1) ...

If ` x ne 1 and f(x) = ( x + 1)/( x - 1)` is a real function, then ` f(f(f(2)))` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos
  • PROBABILITY

    JBD PUBLICATION|Exercise EXAMPLE|71 Videos
  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos

Similar Questions

Explore conceptually related problems

If f(X) = (x^2-1)/(x-1 for x ne 1 and f(x) = 2 when x = 1. Show that the function f(X) is continuous at x = 1.

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

If function f(x) = (x - l)/(x+1), x ne -1 is invertible in its domain, then find f^-1 (x) .

Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. Find : (f + g) (x), (f-g)(x), (fg) (x) and (f/g) (x).

If function f(x) = (x - 2)/(x-3), x ne 3 is invertible in its domain, then find f^-1 (x) .

If f(x) = (x+2)/(3x-1) then f (f(x)) is

Let f be a real-valued function defined on the inverval (-1,1) such that e^(-x)f(x)=2+int_0^xsqrt(t^4+1)dt , for all, x in (-1,1)and f^(-1) be the inverse function of fdot Then (f^(-1))^'(2) is equal to

If f (x) satisfies the relation : 2 f(x) +f (1 -x) = x^2 for all real x, then f (x) is :

If function f(x) = (4x + 3)/(6x-4), x ne 2/3 is invertible in its domain, then find f^-1 (x) .

JBD PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If x ne 1 and f(x) = ( x + 1)/( x - 1) is a real function, then f(f(...

    Text Solution

    |

  2. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

    Text Solution

    |

  3. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)c...

    Text Solution

    |

  4. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(B-C)=(AxxB)-(A...

    Text Solution

    |

  5. Let A={2,3}, B={1,2,3,4}. Verify that AxxA=(AxxB)cap(BxxA).

    Text Solution

    |

  6. Find the domain of the function:f(x)=(x^2-3x+2)/(x^2+x-6)

    Text Solution

    |

  7. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

    Text Solution

    |

  8. Find the range of the following functions: f(x)=1+3 cos2x

    Text Solution

    |

  9. Find the range of the following functions: f(x)=1-|x-2|

    Text Solution

    |

  10. Find the range of the following functions: f(x)=3/(2-x^2).

    Text Solution

    |

  11. Find the domain and range of the following real function:- f(x) = -|x...

    Text Solution

    |

  12. Find the domain and range of the following functions: f(x)=sqrt(16-x^2...

    Text Solution

    |

  13. Find the domain and range of the following functions: f(x)=sqrt(x-3)

    Text Solution

    |

  14. Find the domain and range of the following functions: f(x)=|x-3|

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Domian of f(x)=1/sqrt(x+|x|) is

    Text Solution

    |

  18. Find the domain of each of the following functions: x|x|

    Text Solution

    |

  19. Find the domain of each of the following functions: (x^3-x+3)/(x^2-1)

    Text Solution

    |

  20. Find the domain of f(x)=1/sqrt(1-cosx)

    Text Solution

    |

  21. Find the range of f(x)=1-|x-2|.

    Text Solution

    |