Function Composition
Given the function f(x)=23x−3\displaystyle {f{{\left({x}\right)}}}=\frac{{2}}{{3}}{x}-{3} and the function g(x)=8x2+7x+3\displaystyle {g{{\left({x}\right)}}}={8}{x}^{{2}}+{7}{x}+{3} determine each of the following.

Give your answer as an integer or a simplified fraction.
Evaluate f(g(6))\displaystyle {f{{\left({g{{\left({6}\right)}}}\right)}}} f(g(6))=\displaystyle {f{{\left({g{{\left({6}\right)}}}\right)}}}=
 
Evaluate g(f(2))\displaystyle {g{{\left({f{{\left({2}\right)}}}\right)}}} g(f(2))=\displaystyle {g{{\left({f{{\left({2}\right)}}}\right)}}}=
 
Evaluate f(g(34))\displaystyle {f{{\left({g{{\left(\frac{{3}}{{4}}\right)}}}\right)}}} f(g(34))=\displaystyle {f{{\left({g{{\left(\frac{{3}}{{4}}\right)}}}\right)}}}=
 
Evaluate f(f(16))\displaystyle {f{{\left({f{{\left(\frac{{1}}{{6}}\right)}}}\right)}}} f(f(16))=\displaystyle {f{{\left({f{{\left(\frac{{1}}{{6}}\right)}}}\right)}}}=
 

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