Home
Class 12
MATHS
Given f(x)=log(10)((1+x)/(1-x)) and g(x)...

Given `f(x)=log_(10)((1+x)/(1-x)) and g(x)=(3x+x^(3))/(1+3x^(2))`, then fog(x) equals

A

`-f(x)`

B

3f(x)

C

`[f(x)]^(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    BITSAT GUIDE|Exercise BITSAT Archives|19 Videos
  • SEQUENCES AND SERIES

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|18 Videos
  • SOLVED PAPER 2017

    BITSAT GUIDE|Exercise PART (IV) Mathematics)|45 Videos

Similar Questions

Explore conceptually related problems

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

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

If f(x)=log_(e)((1+x)/(1-x)),g(x)=(3x+x^(3))/(1+3x^(2))andgof(t)=g(f(t)) then what is g^(@)f((e-1)/(e+1)) equal to?

If f (x) = 8x ^(3), g (x) =x ^(1/3), then fog (x) is

g(x)= (x-(1/2))/x-1 , f(x)=2x-1 , then fog(x) is

If f(x)=cot^(-1)((3x-x^(3))/(1-3x^(2))) and g(x)=cos^(-1)((1-x^(2))/(1+x^(2))) then lim_(x rarr a)(f(x)-f(a))/(g(x)-g(a))

BITSAT GUIDE-SETS, RELATIONS AND FUNCTIONS-BITSAT Archives
  1. Given f(x)=log(10)((1+x)/(1-x)) and g(x)=(3x+x^(3))/(1+3x^(2)), then f...

    Text Solution

    |

  2. If f (x) is an odd periodic function with period 2, then f (4) equals

    Text Solution

    |

  3. Let R= {(3, 3),(6,6), (9,9), (12, 12),(6, 12),(3,9), (3, 12), (3, 6)} ...

    Text Solution

    |

  4. The total number of subsets of a finite set A has 56 more elements tha...

    Text Solution

    |

  5. Let R be the relation on the set R of all real numbers defined by a R ...

    Text Solution

    |

  6. A={x inC:x^(4)-1=0} B={x inC:x^(2)-1=0} C={x inC:x^(2)+1=0} wher...

    Text Solution

    |

  7. The function f:(-oo,-1)vec(0, e^5) defined by f(x)=e^x^(3-3x+2) is man...

    Text Solution

    |

  8. If the domain of the function f(x) = x^2 - 6x + 7 is (- oo,oo), then t...

    Text Solution

    |

  9. Let f:R to R, g: R to R be two functions given by f(x)=2x-3,g(x)=x^(3)...

    Text Solution

    |

  10. The inverse of the function (1 0^x-1 0^(-x))/(1 0^x+1 0^(-x)) is

    Text Solution

    |

  11. If n(U)=700,n(A)=200,n(B)=300,n(AnnB)=100, then n(A'capB') is equal to

    Text Solution

    |

  12. Let f be a function with domain [-3, 5] and let g (x) = | 3x + 4 |, Th...

    Text Solution

    |

  13. If f:RtoR and g:RtoR are difined by f(x)=|x| and g(x)=[x-3] for x inR,...

    Text Solution

    |

  14. Let R={(1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A={1,2,...

    Text Solution

    |

  15. Let A=[-1,1] and f:AtoA be defined as f(x)=x|x| for all x inA, then f(...

    Text Solution

    |

  16. If universal set U={x|x^(5)-6x^(4)+11x^(3)-6x^(2)=0} A={x|x^(2)-5x+6...

    Text Solution

    |

  17. Which of the following statements is not correct for the relation R de...

    Text Solution

    |

  18. Range of the function f(x)=(x^(2))/(x^(2)+1) is

    Text Solution

    |

  19. x^(2)=xy is a relation which is

    Text Solution

    |

  20. If f(x)=ax^2+bx+c and g(x)+px^2+qx with g(1)=f(1) g(2)-f(2)=1 g(3)-f(3...

    Text Solution

    |