Use the tables to evaluate the expressions.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline$x$ & 1 & 3 & 4 & 6 \\
\hline$f(x)$ & 4 & 6 & 1 & 3 \\
\hline$g(x)$ & 3 & 4 & 6 & 7 \\
\hline
\end{tabular}
Find $(g \circ f)(3)$. Select the correct choice below and fill in any answer boxes within your choice.
A. $(g \circ f)(3)=\square$
B. The value is undefined.
Answer
Therefore, the correct choice is A. \(\boxed{(g \circ f)(3)=7}\).
Step 1 ：The expression \((g \circ f)(3)\) represents the composition of the functions g and f at x=3. This means we first apply the function f to 3, and then apply the function g to the result.
Step 2 ：From the table, we can see that \(f(3) = 6\).
Step 3 ：Then we apply the function g to the result. From the table, we can see that \(g(6) = 7\).
Step 4 ：So, \((g \circ f)(3) = 7\).
Step 5 ：Therefore, the correct choice is A. \(\boxed{(g \circ f)(3)=7}\).
