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The problem asks to find and simplify the expression \((f + g)(-1)\), given the following functions:

- \( f(x) = x - 1 \)
- \( g(x) = x^2 - x \)

We are tasked to evaluate \((f + g)(-1)\).

### Steps to solve:

1. **Find \( f(-1) \)**:
   \[
   f(x) = x - 1 \implies f(-1) = -1 - 1 = -2
   \]

2. **Find \( g(-1) \)**:
   \[
   g(x) = x^2 - x \implies g(-1) = (-1)^2 - (-1) = 1 + 1 = 2
   \]

3. **Sum the results**:
   \[
   (f + g)(-1) = f(-1) + g(-1) = -2 + 2 = 0
   \]

Thus, \((f + g)(-1) = 0\).

Let me know if you'd like more details or have further questions!

Here are five related questions you can try:

1. What is \((f \cdot g)(-1)\) for the same functions?
2. Evaluate \((f + g)(0)\) for the given functions.
3. How would you simplify \((f - g)(1)\)?
4. What is the derivative of \(f(x) + g(x)\)?
5. Evaluate \((f \cdot g)(2)\) and simplify.

**Tip:** Always remember to substitute correctly and carefully simplify when adding functions.

Let f(x) = x - 1 and g(x) = x^2 - x. Find and simplify the expression (f + g)(-1).

Learn how to evaluate and simplify the expression (f + g)(-1) for the given functions f(x) = x - 1 and g(x) = x^2 - x. This problem involves basic algebraic function addition and is suitable for students in Grades 9-10.

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