We are asked to find $(f + g)(x)$, given that:

• $f(x) = -3x - 5$
• $g(x) = 4x - 2$

To find $(f + g)(x)$, we simply add the two functions:

$(f + g)(x) = f(x) + g(x)$

Substituting the given functions:

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

Now, simplify the expression:

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

$(f + g)(x) = x - 7$

Thus, $(f + g)(x) = x - 7$, which corresponds to option B.

Would you like more details or have any questions? Here are some related questions:

1. How do we perform function addition in general?
2. How would we handle subtracting two functions, like $(f - g)(x)$?
3. What are some examples of function multiplication $(f \cdot g)(x)$?
4. Can you find $(f \circ g)(x)$, the composition of functions for $f(x)$ and $g(x)$?
5. What happens if $f(x)$ or $g(x)$ involves higher powers of $x$?

Tip: When adding or subtracting functions, always combine like terms (such as combining all terms involving $x$ and constants separately).