For this problem we have the following two functions given:
f(x)=3x+10, g(x)=x-2
And we want to find:
[tex]f(g(x))=3(x-2)+10[/tex]If we simplify we got:
[tex]f(g(x))=3x-6+10=3x+4[/tex]After this we can replace x=0 and we find the final result:
[tex]f(g(0))=3\cdot0+4=4[/tex]So then the final answer for this case would be 4