Home
Class 12
MATHS
If f(x)=1/(2x+1),\ x!=-1/2,\ then show ...

If `f(x)=1/(2x+1),\ x!=-1/2,\ ` then show that `f(f(x))=(2x+1)/(2x+3)` , provided that `x!=-3/2dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(x-1)/(x+1),x!=-1, then show that f(f(x))=-1/x provided that x != 0,-1

If f(x)=(x-1)/(x+1),x!=-1, then show that f(f(x))=-1/x provided that x!=0,1.

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

If f(x)="log"(1+x)/(1-x) , then prove that: f((2x)/(1+x^(2)))=2f(x)

If f(x)=x+1/x , prove that [f(x)]^3=f(x^3)+3f(1/x)dot .

If f(x)=log[(1+x)/(1-x)], then prove that f[(2x)/(1+x^2)]=2f(x)dot

If f(x)=log[(1+x)/(1-x)], then prove that f[(2x)/(1+x^2)]=2f(x)dot

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

If f(x)={:{(x^2", "x le 1),( x^2-x+1"," x gt1):} then show that f(x) is not differentiable at x=1 .

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

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let fa n dg be real functions defined by f(x)=x/(x+1)a n dg(x)=1/(x+3)...

    Text Solution

    |

  2. If f(x)=(3x-2)/(2x-3), prove that f(f(x)))=x for all x in R-{3/2} .

    Text Solution

    |

  3. If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...

    Text Solution

    |

  4. If f(x) = x/(sqrt(1+x^2) then fofof(x)

    Text Solution

    |

  5. Let f be a real function defined by f(x)=sqrt(x-1) . Find (fofof)(x...

    Text Solution

    |

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

    Text Solution

    |

  7. Find fog and gof , if f(x)=e^x , g(x)=(log)e x

    Text Solution

    |

  8. Find fog and gof , if f(x)=x^2 , g(x)=cosx

    Text Solution

    |

  9. Find fog and gof , if f(x)=|x| , g(x)=sinx

    Text Solution

    |

  10. Find fog and gof , if f(x)=x+1 , g(x)=e^x

    Text Solution

    |

  11. Find fog and gof , if f(x)=sin^(-1)x , g(x)=x^2

    Text Solution

    |

  12. Find fog and gof , if f(x)=x+1 , g(x)=sinx

    Text Solution

    |

  13. Find fog and gof , if f(x)=x+1 , g(x)=2x+3

    Text Solution

    |

  14. Find fog and gof , if f(x)=c ,\ c in R , g(x)=sinx^2

    Text Solution

    |

  15. Find fog and gof , if f(x)=x^2+2 , g(x)=1-1/(1-x)

    Text Solution

    |

  16. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

    Text Solution

    |

  17. L e tf: R->R :f(x)=|x|, Prove that fof=f

    Text Solution

    |

  18. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

    Text Solution

    |

  19. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

    Text Solution

    |

  20. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

    Text Solution

    |