To solve the problem, we need to find the sum of the functions $f(x)$ and $g(x)$.

Given:

• $f(x) = 4x - 4$
• $g(x) = 3x - 5$

We are asked to find $(f + g)(x)$.

Step 1: Add the functions

The sum of the two functions is calculated by adding their corresponding expressions:

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

Substitute the given functions:

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

Step 2: Combine like terms

Now, combine the like terms:

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

Simplify further:

$(f + g)(x) = 7x - 9$

Final Answer:

$(f + g)(x) = 7x - 9$

Would you like further details or have any other questions?

Here are five related questions:

1. How do you find the difference of two functions, such as $(f - g)(x)$?
2. What is the domain of the function $(f + g)(x) = 7x - 9$?
3. How would you find the product of the functions $f(x)$ and $g(x)$?
4. How do you evaluate $(f + g)(x)$ for a specific value of $x$?
5. What happens when you add two quadratic functions?

Tip: When combining functions, always ensure you correctly distribute and combine like terms.