h(x)=−x+2, find h, of, minus, 4h(−4).

To solve for \( h(-4) \) given the function \( h(x) = -x + 2 \), follow these steps:

1. **Substitute** \( x = -4 \) into the function:
   \[
   h(-4) = -(-4) + 2
   \]

2. **Simplify** the expression:
   \[
   h(-4) = 4 + 2 = 6
   \]

So, \( h(-4) = 6 \).

Would you like more details, or do you have any other questions? Here are some related questions:

1. What is \( h(2) \) for the same function?
2. How would you find the inverse of the function \( h(x) \)?
3. What does the graph of \( h(x) = -x + 2 \) look like?
4. How do you determine the slope and y-intercept from \( h(x) = -x + 2 \)?
5. How does the function change if the equation is \( h(x) = -2x + 2 \)?

**Tip:** When solving for a function at a specific point, always substitute the given value directly into the function.

Learn how to evaluate the function h(x) = -x + 2 at x = -4 with a step-by-step solution. Understand the process of substituting the value into the function and simplifying the expression. Suitable for high school students.

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