Home
Class 12
MATHS
If f(x)=(x-1)/(x+1),x ne pm1, show that ...

If `f(x)=(x-1)/(x+1),x ne pm1,` show that `fof^(-1)(x)=x`.

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    SRISIRI PUBLICATION|Exercise EXERCISE(MISCELLANEOUS)|27 Videos

  • FUNCTIONS

    SRISIRI PUBLICATION|Exercise EXERCISE(DOMAINS AND RANGES)|40 Videos

  • DIFFERENTIATION

    SRISIRI PUBLICATION|Exercise EXERCISE(VSAQ,SAQ & LAQ)|14 Videos

  • HYPERBOLIC FUNCTIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (kx)/(x+1)(x ne -1) such that (fof(x))=x , then find the value of k. (when x ne 0 ).

If y=f(x) =(x+2)/(x-1)(x ne 1,-2) then show that x=f(y)

If f (x) = (x +1)/( x -1) , (x ne pm 1) then find (fofof) (x) and (fofofof) (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 ?

If f:R-(pm1)toR is defined by f(x)=log|(1+x)/(1-x)| , then show that f((2x)/(1+x^(2)))=2f(x) .

If f(x) =(alphax)/(x+1), x ne 1 , then the value of alpha for which f(f(x))=x is:

Let f(x) =(x+1)^2-1,x ge -1 then {x: f(x) =f^(-1)(x) } =

SRISIRI PUBLICATION-FUNCTIONS-EXERCISE(VSAQ)
  1. If f:R to R,g:R to R are defined by f(x)=2x-3,g(x)=x^(3)+5 then find (...

    Text Solution

    |

  2. If f(x)=1+x+x^(2)+..... for |x|lt1 then show that f^(-1)(x)=(x-1)/(x)

    Text Solution

    |

  3. If f(x)=(x-1)/(x+1),x ne pm1, show that fof^(-1)(x)=x.

    Text Solution

    |

  4. If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)...

    Text Solution

    |

  5. If f(x)=e^(x) and g(x)=log(e)x, then show that "fog=gof" and find f^(-...

    Text Solution

    |

  6. Let f(x) = x^(2), g(x) = 2^(x). Then solve the equation (fog)(x)=(gof)...

    Text Solution

    |

  7. On what domain the functions f(x)=x^(2)-2x and g(x)=-x+6 are equal?

    Text Solution

    |

  8. If f(x) = (cos^(2)x+sin^(4)x)/(sin^(2)x + cos^(4)x) AA x in R then sho...

    Text Solution

    |

  9. If f: R to R is defined by f(x)=(1-x^(2))/(1+x^(2)) then show that f(t...

    Text Solution

    |

  10. Is g={(1,1),(2,3),(3,5),(4,7)} is a function from A={1,2,34,}. to B={1...

    Text Solution

    |

  11. If the function f:{-1,1} to{0,2}, defined by f(x)=ax+b is a surjection...

    Text Solution

    |

  12. If f:N to N is defined as f(x)=2x+5, is f onto?

    Text Solution

    |

  13. Determine whether the functionf:R to (0,oo) defined by f(x) = 2^(x) ...

    Text Solution

    |

  14. Determine whether the function f:(o,oo) to R defined by f(x) log(e)x i...

    Text Solution

    |

  15. Determine whether the function f:R to [0,oo) defined by f(x)=x^(2) is ...

    Text Solution

    |

  16. Determine whether the function f:R to [0,oo) defined by f(x)=x^(2) is ...

    Text Solution

    |

  17. Determine whether the functionf:R to (0,oo) defined by f(x) = 2^(x) ...

    Text Solution

    |

  18. If A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3), which of the followin...

    Text Solution

    |

  19. If A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3), which of the followin...

    Text Solution

    |

  20. Let A={1,2,3},B={a,b,c),C={p,q,r}. If f:A to B, g: B to C are defined ...

    Text Solution

    |