(Solved): Let \( f(x)=\frac{1}{x^{2}+1}, g(x)=x^{-6} \). Calculate the composite functions \( f(g(x)) \) and ...

Let \( f(x)=\frac{1}{x^{2}+1}, g(x)=x^{-6} \). Calculate the composite functions \( f(g(x)) \) and \( g(f(x)) \) and determine their domains. (Use symbolic notation and fractions where needed.) \[ f(g(x))= \] help (fractions) The domain is: A. \( x>0 \) B. \( x \geq 0 \) C. \( x \neq 0 \) D. all real numbers \[ g(f(x))= \] The domain is: A. \( x \neq 0 \) B. \( x \geq 0 \) C. \( x>0 \) D. all real numbers