Home
Class 11
MATHS
Find the domain of definition of f(x)=lo...

Find the domain of definition of `f(x)=log_e ((1-x)/(1+x))` Further show that`f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2))`,`x_1,x_2 in (-1,1)`

Promotional Banner

Topper's Solved these Questions

  • Kalidhan Institution, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |23 Videos

  • MODEL QUESTION PAPERS-SET 1

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

The domain of definition of f(x)=sqrt((1-|x|)/(2-|x|)) is

The domain of definition of f(x) = sin^-1(log_3 x/3) is

Domain of definition of f(x) = sin^-1 ((3 - 2x)/5)

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

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

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

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

Find the domain of definition of the function f(x)=1/(ln(1-x))+sqrt(x+2)

UNITED BOOK HOUSE-MCQ-EXERCISE
  1. Two dice are thrown simultaneously. Find the probability that the sum ...

    Text Solution

    |

  2. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

    Text Solution

    |

  3. Find the domain of definition of f(x)=loge ((1-x)/(1+x)) Further show ...

    Text Solution

    |

  4. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

    Text Solution

    |

  5. Prove that tan 20^@tan 40^@ tan 60^@ tan 80^@ = 3

    Text Solution

    |

  6. If a sinalpha+bcosalpha=c and a cosecalpha+bsecalpha=c show thatsin2al...

    Text Solution

    |

  7. Prove that 4sin27^@=sqrt(5+sqrt5)-sqrt(3-sqrt5)

    Text Solution

    |

  8. Solve :tanx+tany=1,x+y=pi//4

    Text Solution

    |

  9. If a^4+b^4+c^4+a^2b^2=2c^2(a^2+b^2),, then show thatangleC=60^@or120^@

    Text Solution

    |

  10. Prove using principle of mathematical induction that sum of the cube t...

    Text Solution

    |

  11. If x+iy=((a+ib)/(c+id))^(1//2),show that (x^2+y^2)=(a^2+b^2)/(c^2+d^2)

    Text Solution

    |

  12. If one of the root of the equation px^2 + qx + r = 0 is the cube of th...

    Text Solution

    |

  13. Solve graphically the following system of linear inequations - x - y l...

    Text Solution

    |

  14. How many 4-digit numbers can be formed from the digits 1, 1, 2, 2, 3, ...

    Text Solution

    |

  15. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

    Text Solution

    |

  16. If Sn be the sum of n consecutive terms of an A.P. show that S(n+4)-4S...

    Text Solution

    |

  17. If n th term of a-series be (2.3^(n-1)+1),, find the sum of 1st r ter...

    Text Solution

    |

  18. Show that the four straight lines xcosalpha+ysinalpha=P,xsinalpha-ycos...

    Text Solution

    |

  19. Applying section formulae show that the points A(4. 7,-6), B (2, 5, -4...

    Text Solution

    |

  20. Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

    Text Solution

    |