The problem provided asks to find $(f + g)(x)$, given the following functions:

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

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

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

Substitute the expressions for $f(x)$ and $g(x)$:

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

Now, combine like terms:

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

Simplify the terms:

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

So, $(f + g)(x)$ is:

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

Would you like more details on this?

Here are 5 related questions:

1. How would you subtract $g(x)$ from $f(x)$?
2. What is $(f \cdot g)(x)$ for the given functions?
3. How do you find the derivative of $(f + g)(x)$?
4. Can you evaluate $(f + g)(x)$ for a specific value of $x$?
5. What is the degree of the polynomial $(f + g)(x)$?

Tip: When adding polynomials, always combine like terms carefully to avoid mistakes in simplification.