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The function f(x)=sin(log(x+sqrt(1+x^2))...

The function `f(x)=sin(log(x+sqrt(1+x^2)))` is (a) even function (b) odd function (c) neither even nor odd (d) periodic function

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Knowledge Check

  • Statement-1: The function f(x) given by f(x)=sin^(-1){log(x+sqrt(x^(2)+1))} is an odd function. Statement:2 The composition of two odd functions is an odd function.

    A
    Statement-1 is True, Statement-2 is True, statement-2 is a correct explanation for the statement-1 .
    B
    Statement-1 is True, Statement-2 is True, statement-2 is not a correct explanation for the statement-1 .
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False , Statement-2 is True.
  • Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and g(x)=f'(x) is an even function , then f(x) is an odd function.

    A
    Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement 1.
    B
    Statement I is true, Statement II is also true , Statement II is not the correct explanation of Statement II.
    C
    Statement I is true, Statement II is false
    D
    Statement I is false , Statement II is true
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