a) Assertion is True, Reason is True, Reason is a correct explanation for Assertion
b) Assertion is True, Reason is True, Reason is not a correct explanation for Assertion
c) Assertion is True, Reason is True.
d) Assertion is False, Reason is True.
Assertion : The function f(x) given by $f (x) = \sin^{- 1} \{\log (x + \sqrt{x^{2} + 1})\}$ is an odd function.
Reason : The composite function of two odd functions is an odd function

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answer is A.

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Detailed Solution

$f (- x) = \sin^{- 1} (\log (- x + \sqrt{x^{2} + 1})) = \sin^{- 1} (\log (\frac{1}{x + \sqrt{x^{2} + 1}})) = - f (x)$

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