A function \( \mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} \) sati...
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A function \( \mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} \) satisfies the condition \( x^{2} f(x)+f(1-x)=2 x-x^{4} \). Then \( f(x) \) is:
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(a) \( -\mathrm{x}^{2}-1 \)
(b) \( -x^{2}+1 \)
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(c) \( x^{2}-1 \)
(d) \( -\mathrm{x}^{4}+1 \)
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