Domain of Composite Functions
Given f(x)=1x−2\displaystyle {f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}-{2}}}} and g(x)=1x−6\displaystyle {g{{\left({x}\right)}}}={\frac{{{1}}}{{{x}-{6}}}}, determine the Domain of f(g(x))\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}. Write your answer in Interval Notation. Round your answers to two decimal places as needed.

Note:The Domain is equal to all real numbers except for two values, a\displaystyle {a} and b\displaystyle {b}. The Interval should be written in the form (−∞,a)U(a,b)U(b,∞)\displaystyle {\left(-\infty,{a}\right)}{U}{\left({a},{b}\right)}{U}{\left({b},\infty\right)}
The Domain of f(g(x))\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}} is

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