Final Answer:
It correctly represents the composition $f(g(x))$ as $9x + 8$, obtained by substituting $3x + 2$ into an unknown function $f(x)$. Thus, the correct answer ia option C. $3x + 4$
Step-by-step explanation:
The composition $f(g(x))$ involves substituting the expression for $g(x)$ into the function $f(x)$. Given that $g(x) = 3x + 2$, we replace $x$ in $f(x)$ with $3x + 2$, resulting in $f(g(x)) = f(3x + 2)$.
Now, let's evaluate $f(3x + 2)$:
f(x) = ?
Since the expression for $f(x)$ is not provided, we cannot determine the exact function $f(x)$. However, the answer can be expressed in terms of the given expression for $g(x)$. In $f(g(x))$, we substitute $3x + 2$ for $x$ in $f(x)$. Without the specific form of $f(x)$, the expression becomes $3(3x + 2) + 2$, simplifying to $9x + 6 + 2$, which equals $9x + 8$.
Therefore, the final answer is $9x + 8$, which corresponds to option C, $3x + 4$.