If \( f(x)=\cos \left(\log _{e} x\right) \), then \( f(x) f(y)-\frac{1}{2}\left[f\left(\frac{x}{...
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If \( f(x)=\cos \left(\log _{e} x\right) \), then \( f(x) f(y)-\frac{1}{2}\left[f\left(\frac{x}{y}\right)+f(x y)\right] \) has value
(A) \( -1 \)
(B) \( 1 / 2 \)
(C) \( -2 \)
(D) none of these
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