अगर \({\rm{g}}\left( {\rm{x}} \right) = \frac{1}{{{\rm{f}}\left( {\rm{x}} \right)}}\) और f(x) = x, x ≠ 0 तो निम्न में से कौन सा सही है?

1
f(f(f(g(g(f(x)))))) = g(g(f(g(f(x)))))
2
f(f(g(g(g(f(x)))))) = g(g(f(g(f(x)))))
3
f(g(f(g(g(f(g(x))))))) = g(g(f(g(f(x)))))
4
f(f(f(g(g(f(x)))))) = f(f(f(g(f(x)))))

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