Home
Class 11
MATHS
If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x...

If `f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2))` , then `f(g(x))` is equal to `f(3x)` (b) `{f(x)}^3` (c) `3f(x)` (d) `-f(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos

  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

If f(x)=log((1+x)/(1-x)) and g(x)=((3x+x^(3))/(1+3x^(2))) then f(g(x)) is equal to f(3x)(b)quad {f(x)}^(3) (c) 3f(x)(d)-f(x)

Given f(x)=log((1+x)/(1-x)) and g(x) = (3x+x^(3))/(1+3x^(2)) , then fog(x) is

Given f(x)=log[((1+x))/((1-x))]andg(x)=((3x+x^(2)))/((1+3x^(2))) , then what is f[g(x)] equal to ?

If f(x)=x^(3)+3x^(2)+3x , then f(x+1) is equal to

If f(x)=log((1+x)/(1-x)) and then f((2x)/(1+x^(2))) is equal to {f(x)}^(2) (b) {f(x)}^(3)(c)2f(x)(d)3f(x)

If f(x)=x^(3)+(1)/(x^(3)), then f(x)+f((1)/(x)) is equal to

If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) then (d)/(dx)(f(x)) is equal to

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If f(x)=a-(1)/(x+b), where a+b=1, then: (f@f@f)(x)=

    Text Solution

    |

  2. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  3. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  4. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |

  5. If A={(x, y): y = e^x, x in R} and B={(x,y):y=e^(-2x), x in R}, then

    Text Solution

    |

  6. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

    Text Solution

    |

  7. If f(x)=1-1/x then write the value of f(f(1/x))dot

    Text Solution

    |

  8. If : f(x+1/x)=x^3+1/x^3, where x ne0 then: f(x)=...

    Text Solution

    |

  9. If: AxxB={(1,1),(1,2),(1,3),(2,1),(2,2),(2,3)}, then: A=

    Text Solution

    |

  10. A function f from the set of natural number to integers defined by ...

    Text Solution

    |

  11. If f:RtoR satisfies f(x+y)=f(x)+f(y), for all real x,y and f(1)=m. the...

    Text Solution

    |

  12. If f(n+1)=(2F(n)+1)/2,n=1,3, ,a n dF(1)=2. Then F(101) equals 52 (b) ...

    Text Solution

    |

  13. If : f(x)=root(n)((x^m)), where n inN, is even function then m is

    Text Solution

    |

  14. Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+...

    Text Solution

    |

  15. If f(x) =ax^(2) + bx + c satisfies the identity f(x+1) -f(x)= 8x+ 3 fo...

    Text Solution

    |

  16. If : f(x)=x^2 and g(x)=2^x, then, the solution set of the equation (f@...

    Text Solution

    |

  17. Let f(x)=(alphax)/(x+1),x ne -1. Then, for what values of alpha is f[f...

    Text Solution

    |

  18. The value of parameter alpha, for which the function f(x) = 1+alpha x,...

    Text Solution

    |

  19. If f(x) = (a-x^n)^(1/n), a > 0 and n in N, then prove that f(f(x)) = x...

    Text Solution

    |

  20. "If" f(x)=(3x+2)/(5x-3),"then"

    Text Solution

    |