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Find \( f\left( \frac { 1 }{ 2 } \right) \) if \( f\left( g\left( x \right) \right) =\frac { { x }^{ 4 }+{ x }^{ 2 } }{ 1+{ x }^{ 2 } } \) and \( g\left( x \right) =1-{ x }^{ 2 }\)

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