We are given the function $h(x) = -5x - 4$. To find $h(3)$, we substitute $x = 3$ into the function equation:

$h(3) = -5(3) - 4$

Let's calculate it step by step:

$h(3) = -15 - 4$

$h(3) = -19$

So, $h(3) = -19$.

Would you like more details or have any other questions?

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Here are 8 related questions to expand your understanding:

1. What is $h(0)$ for the function $h(x) = -5x - 4$?
2. How would you find the value of $h(-2)$ for this function?
3. What is the slope of the function $h(x) = -5x - 4$?
4. How do you determine the y-intercept of the function $h(x) = -5x - 4$?
5. Can you rewrite the function $h(x) = -5x - 4$ in slope-intercept form $y = mx + b$ and identify $m$ and $b$?
6. What is the inverse function of $h(x) = -5x - 4$?
7. How do you graph the function $h(x) = -5x - 4$?
8. What are the key differences between the functions $h(x) = -5x - 4$ and $f(x) = 3x - 3$?

Tip: When dealing with linear functions, recognizing the pattern in slope and y-intercept can quickly help you determine the behavior of the function and solve for specific values.