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Given:f(x)=x2f\left( x \right) =\frac { x }{ \sqrt { 2 } }f(x)=2x , g(x)=f(x)2+x2g\left( x \right) ={ f\left( x \right) }^{ 2 }+{ x }^{ 2 }g(x)=f(x)2+x2 and f(x)f(x)f(x)f(x)...=2\huge{ f\left( x \right) }^{ { { f\left( x \right) }^{ { f\left( x \right) }^{ f\left( x \right) } } }^{ ... } }=2f(x)f(x)f(x)f(x)...=2
What is the value of g(x)g\left( x \right)g(x) ?
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