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f(x+1/x)=x三次方+1/x三次方,
人气:283 ℃ 时间:2020-05-19 21:31:24
解答
令a=x+1/x
a²=x²+2+1/x²
x²+1/x²=a²-2
x³+1/x³
=(x+1/x)(x²-1+1/x²)
=a(a²-2-1)
=a³-3a
所以f(a)=a³-3a
f(x)=x³-3x
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