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. \(\boxed{(g \circ f)(3)=7}\).