To find $g(-1)$, we are given that:

$g(x) = 5f(x) - 1$

From the table, when $x = -1$, the value of $f(x) = 12$.

Substitute $f(-1) = 12$ into the expression for $g(x)$:

$g(-1) = 5f(-1) - 1 = 5(12) - 1 = 60 - 1 = 59$

Thus, $g(-1) = 59$.

Would you like more details or have any questions?

Here are some related questions for practice:

1. What is $g(0)$ given the same function $g(x) = 5f(x) - 1$?
2. How would you find $g(2)$?
3. Can you generalize how $g(x)$ behaves based on the table of values for $f(x)$?
4. If $h(x) = 2f(x) + 3$, what is $h(-1)$?
5. What is the general pattern of changes in $f(x)$ and how does it affect $g(x)$?

Tip: When substituting into a function, make sure you carefully match the value of the input from the table with the correct output!