To solve the given problem, $f(-1) + 5g(-15)$, we will refer to the provided table:

1. Locate $f(-1)$ and $g(-15)$ in the table.
2. Substitute their values into the expression.

Step 1: Find $f(-1)$

From the table:

• When $x = -1$, $f(x) = -15$.

Thus, $f(-1) = -15$.

Step 2: Find $g(-15)$

From the table:

• When $x = -15$, $g(x) = -11$.

Thus, $g(-15) = -11$.

Step 3: Substitute into the expression

Substitute $f(-1) = -15$ and $g(-15) = -11$ into $f(-1) + 5g(-15)$: $f(-1) + 5g(-15) = -15 + 5(-11)$

Step 4: Simplify

$f(-1) + 5g(-15) = -15 - 55 = -70$

Final Answer:

$\boxed{-70}$

Would you like further details or clarification?

Related Questions:

1. How would the expression change if $g(-15)$ were positive?
2. Can you calculate $f(15) + 3g(7)$ using the table?
3. What is the general process for evaluating functions from a table?
4. How do $f(x)$ and $g(x)$ behave as $x$ increases or decreases based on the table?
5. How can you verify the values in such expressions for correctness?

Tip:

Always double-check the corresponding $x$-values in the table to avoid errors when matching inputs and outputs.