We are asked to find $(f - g)(x)$, given the functions $f(x) = -5x - 4$ and $g(x) = -3x - 2$.

The difference between two functions $f(x)$ and $g(x)$ is calculated by subtracting the expressions for each:

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

Substitute the given functions for $f(x)$ and $g(x)$:

$(f - g)(x) = (-5x - 4) - (-3x - 2)$

Now, simplify the expression by distributing the negative sign:

$(f - g)(x) = -5x - 4 + 3x + 2$

Combine like terms:

$(f - g)(x) = (-5x + 3x) + (-4 + 2)$

$(f - g)(x) = -2x - 2$

So, the correct answer is $(f - g)(x) = -2x - 2$, which corresponds to option B.

Would you like further explanation on any of these steps?

Here are 5 related questions to explore this topic further:

1. How do you add two functions, such as $f(x) + g(x)$?
2. What happens when you multiply two functions, $f(x) \times g(x)$?
3. How can you verify the result of subtracting two functions graphically?
4. What is the difference between $f(g(x))$ and $f - g(x)$?
5. Can the subtraction of functions ever result in a constant function?

Tip: When combining functions, always distribute any negative signs properly to avoid mistakes in simplification!