To evaluate $f(g(2))$ using the table:

1. Find $g(2)$: Look at the row for $g(x)$ and find the value when $x = 2$. The value is $g(2) = 5$.

2. Find $f(g(2)) = f(5)$: Now, look at the row for $f(x)$ and find the value when $x = 5$. The value is $f(5) = 6$.

Therefore, $f(g(2)) = 6$.

Would you like more details or have any questions?

Related Questions:

1. How do you evaluate expressions like $g(f(3))$ using the table?
2. What is $g(f(1))$ based on the given table?
3. How can you determine $f(x) + g(x)$ for each $x$?
4. What does it mean if $f(g(x))$ is equal to a specific value for all $x$?
5. How would you graph the functions $f(x)$ and $g(x)$ based on the table data?

Tip:

For evaluating nested functions like $f(g(x))$, always start from the innermost function and work your way out.