Logic

Algebra Level pending

Given:\(f\left( x \right) =\frac { x }{ \sqrt { 2 } }\) , \(g\left( x \right) ={ f\left( x \right) }^{ 2 }+{ x }^{ 2 }\) and \(\huge{ f\left( x \right) }^{ { { f\left( x \right) }^{ { f\left( x \right) }^{ f\left( x \right) } } }^{ ... } }=2\)

What is the value of \(g\left( x \right)\) ?