Question

已知函数F(x-1/x)=x^2/(x^4+1),求f(x)。

Answer 1

f(x - 1/x) = 1/ ( x² +1/x²) = 1/ [(x-1/x)² + 2 ]
f(x) = 1/ ( x² +2)

Answer 2

F=x^2/(x^4+1)
=1/(x^2+1/x^2)
=1/(x^2+1/x^2-2+2)
=1/[(x-1/x)^2+2]
将x-1/x换成x
f=1/(x^2+2)