We are given two functions: $f(x) = 4x - 1$ $g(x) = 2x - 5$

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

$(f + g)(x) = f(x) + g(x)$ Substituting the given functions: $(f + g)(x) = (4x - 1) + (2x - 5)$ Now, combine like terms: $(f + g)(x) = 4x + 2x - 1 - 5$ $(f + g)(x) = 6x - 6$

Thus, $(f + g)(x) = 6x - 6$.

Would you like further details or clarifications?

Here are 5 related questions to explore:

1. What is $(f - g)(x)$ for the same functions?
2. How do you find $(f \cdot g)(x)$?
3. How do you find $\frac{f}{g}(x)$ for these functions?
4. How would you solve for the roots of $f(x) = 0$ and $g(x) = 0$?
5. What is the domain of $(f + g)(x)$?

Tip: Always combine like terms carefully to avoid mistakes in algebraic expressions!