(C) Given that $x = \log \left( y + \sqrt{y^2 + 1} \right)$.By the definition of the inverse hyperbolic sine function, we know that $\sinh^{-1}(y) = \

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(C) Given that $x = \log \left( y + \sqrt{y^2 + 1} \right)$.By the definition of the inverse hyperbolic sine function, we know that $\sinh^{-1}(y) = \log \left( y + \sqrt{y^2 + 1} \right)$.Comparing the given equation with the definition, we get $\sinh^{-1}(y) = x$.Taking the hyperbolic sine of both sides, we obtain $y = \sinh x$.