To solve this, we need to find $(f + g)(x)$, which is the sum of the functions $f(x)$ and $g(x)$.

The two functions are:

$f(x) = 3x^3 - 2x^2 + 4x - 5$ $g(x) = 6x - 7$

Now, add them together term by term:

$(f + g)(x) = (3x^3 - 2x^2 + 4x - 5) + (6x - 7)$

Combine like terms:

$(f + g)(x) = 3x^3 - 2x^2 + (4x + 6x) + (-5 - 7)$ $(f + g)(x) = 3x^3 - 2x^2 + 10x - 12$

Thus, the correct expression for $(f + g)(x)$ is:

$(f + g)(x) = 3x^3 - 2x^2 + 10x - 12$

Now, looking at the multiple-choice options, the correct answer is Option B.

Would you like any additional details or have any further questions?

Here are some related questions for further practice:

1. How would you subtract $g(x)$ from $f(x)$?
2. What is $f(x) + 2g(x)$?
3. How do you find the derivative of $f(x) + g(x)$?
4. What is the integral of $f(x) + g(x)$?
5. How do you determine if $f(x) + g(x)$ has any real roots?

Tip: When combining functions, always ensure you combine like terms correctly (terms with the same degree of $x$).