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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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