Given h, of, x, equals, minus, x, minus, 3h(x)=−x−3, find h, of, minus, 2h(−2).

To find \( h(-2) \) given the function \( h(x) = -x - 3 \), we need to substitute \(-2\) for \( x \) in the function.

The function is:

\[
h(x) = -x - 3
\]

Substituting \(-2\) for \( x \):

\[
h(-2) = -(-2) - 3
\]

Simplify the expression:

\[
h(-2) = 2 - 3 = -1
\]

So, \( h(-2) = -1 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is \( h(0) \) for the same function \( h(x) = -x - 3 \)?
2. How would you find the value of \( h(5) \)?
3. What does the graph of \( h(x) = -x - 3 \) look like?
4. Can you determine the x-intercept of \( h(x) = -x - 3 \)?
5. What is the slope of the linear function \( h(x) = -x - 3 \)?

**Tip:** When substituting a value into a function, replace every instance of the variable with that value to evaluate the function correctly.

Learn how to evaluate the function h(x) = -x - 3 at x = -2 step-by-step. Understand function evaluation and substitution with an example problem. Suitable for high school students.

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