Answer:
Given that,
g(x)=3x+2
and f(x)=(x-2)/3
To find,
[tex]g(f(2))[/tex]we get that,
[tex]f(2)=\frac{2-2}{3}[/tex][tex]=0[/tex]Substituting this we get,
[tex]g(f(2))=g(0)[/tex][tex]g(0)=3(0)+2[/tex][tex]g(0)=2[/tex]Hence, we get
[tex]g(f(2))=2[/tex]Answer is: option (c): 2