To find $(f + g)(x)$, we need to add the functions $f(x)$ and $g(x)$.

Given:

• $f(x) = 7x - 1$
• $g(x) = x^2 - 8x - 7$

Now, let's calculate $(f + g)(x)$:

$(f + g)(x) = f(x) + g(x)$ $(f + g)(x) = (7x - 1) + (x^2 - 8x - 7)$

Now combine like terms:

$(f + g)(x) = x^2 + (7x - 8x) - 1 - 7$ $(f + g)(x) = x^2 - x - 8$

So, $(f + g)(x) = x^2 - x - 8$.

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. What is $(f - g)(x)$ using the same functions?
2. How do you find $(f \cdot g)(x)$?
3. What is the derivative of $(f + g)(x)$?
4. Can you evaluate $(f + g)(2)$?
5. What is the domain of $(f + g)(x)$?

Tip: When adding functions, always combine like terms carefully, especially when dealing with powers of $x$.