To solve $g(x) - f(x)$ given $g(x) = 6x + 4$ and $f(x) = 2x - 7$, follow these steps:

1. Subtract $f(x)$ from $g(x)$: $g(x) - f(x) = (6x + 4) - (2x - 7)$

2. Distribute the negative sign to the terms in $f(x)$: $g(x) - f(x) = 6x + 4 - 2x + 7$

3. Combine like terms: $g(x) - f(x) = (6x - 2x) + (4 + 7)$ $g(x) - f(x) = 4x + 11$

So, the correct answer is D. 4x + 11.

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

1. What is the value of $g(x)$ at $x = 2$?
2. What is the value of $f(x)$ at $x = -1$?
3. How do you find the intersection point of $g(x)$ and $f(x)$?
4. If $h(x) = g(x) + f(x)$, what is the expression for $h(x)$?
5. How would the expression change if $f(x) = 3x - 5$ instead?

Tip: When subtracting functions, be careful with distributing negative signs to avoid errors in combining like terms.