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

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

Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|72 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple Correct answer Type|5 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

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

If f(x)=log_e.(1+x)/(1-x) , show that f((2x)/(1+x^2))=2f(x) .

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

If f(x)=(1)/(x^2) , show that f(x+h)-f(x-h)=-(4xh)/((x^2-h^2)^2) .

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

If f(x)=(x-1)/(x+1), show that (f(a)-f(b))/(1+f(a)f(b))=(a-b)/(1+ab)

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

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

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

If f(x)=(x-1) e^(x)+1 , show that f(x) is positive for all positive values of x.

CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
  1. If F(x)=((x-b)(x-c))/((a-b)(a-c))+((x-c)(x-a))/((b-c)(b-a))+((x-a)(x-b...

    Text Solution

    |

  2. If f(x)=(x-1)/(x+1), show that (f(a)-f(b))/(1+f(a)f(b))=(a-b)/(1+ab)

    Text Solution

    |

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

    Text Solution

    |

  4. If y=f(x)=(ax-b)/(bx-a), prove that f(x).f(1/x) is independent of x.

    Text Solution

    |

  5. If y=f(x) =(px+q)/(rx-p), show that x = f(y).

    Text Solution

    |

  6. If y=f(x)=(3x-5)/(2x-m)and f(y)=x, find the value of m.

    Text Solution

    |

  7. If y=f(x)=(x-3)/(2x+1)and z=f(y), express z as a function of x.

    Text Solution

    |

  8. If F(x)=(4x-5)/(3x-4), prove that F{F(x)} = x.

    Text Solution

    |

  9. If f(x)=(a-x^n)^(1/n)," where "a gt0 and n is a positive integer, show...

    Text Solution

    |

  10. If phi(x)=(1-x)/(1+x) prove that phi{phi(x)}=x

    Text Solution

    |

  11. If phi(x)=(1-x)/(1+x) prove that phi{phi(cottheta)}=cottheta

    Text Solution

    |

  12. If f(x)=tan^-1x, find the relation by which f(x),f(y) and f(x+y) are...

    Text Solution

    |

  13. The function phi(x) is defined as follows: phi(x)=4, " when x is rat...

    Text Solution

    |

  14. Let f(x)=2x^2-3," when "x le2 =2x+1," when "2ltxle3 =(1)/(2x-1)," ...

    Text Solution

    |

  15. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  16. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  17. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  18. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  19. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  20. If the maximum and minimum value of f(x)=a+b sin x be 7 and 1 respecti...

    Text Solution

    |