STEP-BY-STEP EXPLANATION:
Given information
Given that,
g(x) = 3x + 2
f(x) = (x- 2) / 3
Find g(g(0)
g(g(x) means that the function of g is input into another function of g
i.e., x = 3x + 2
[tex]\begin{gathered} g\mleft(g(x)=3\lbrack(3x+2)\rbrack+2\mright) \\ \text{open the parentheses} \\ g(g(x)\text{ ) = 9x + 6 + 2} \\ g(g(x))\text{ = 9}x\text{ + 8} \\ \text{Solve for g(g(0)) when x = 0} \\ g(g(0))\text{ = 9(0) + 8} \\ g(g(0))\text{ = 8} \end{gathered}[/tex]
