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

Given:

• $f(x) = x - 5$
• $g(x) = x^2 - 1$

$(f + g)(x) = f(x) + g(x)$ $(f + g)(x) = (x - 5) + (x^2 - 1)$

Now, simplify: $(f + g)(x) = x^2 + x - 5 - 1$ $(f + g)(x) = x^2 + x - 6$

So, $(f + g)(x) = x^2 + x - 6$.

Would you like more details or explanations on any steps?

Here are some related questions you might consider:

1. b. $(f - g)(x)$
2. c. $(f \cdot g)(x)$
3. d. $(g \cdot h)(x)$
4. e. Find $f(g(x))$
5. f. Find $h(f(x))$

Tip: Always start by breaking down each function into its components before performing operations like addition, subtraction, or composition!