# 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 $$g\left( x \right)$$ ?

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