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If \( y=f(x) \) satisfies the condition
\( \mathrm{P} \)
\( f\left(x+\frac{1}{x}\right)=x^{2}+\frac{1}{x^{2}}(x \neq 0) \), then \( f(x) \) is equal to
W)
(a) \( -\mathrm{x}^{2}+2 \)
(b) \( -\mathrm{x}^{2}-2 \)
(c) \( \mathrm{x}^{2}-2, \mathrm{x} \in \mathrm{R}-\{0\} \)
(d) \( \mathrm{x}^{2}-2,|\mathrm{x}| \in[2, \infty) \)
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