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To solve for \( x \) when the function \( f(x) = -x - 5 \) is equal to \( -6 \), set the equation equal to \( -6 \) and solve for \( x \):

\[
f(x) = -x - 5 = -6
\]

Add 5 to both sides to isolate terms involving \( x \):

\[
-x = -6 + 5
\]

\[
-x = -1
\]

Multiply both sides by -1 to solve for \( x \):

\[
x = 1
\]

Thus, the value of \( x \) when \( f(x) = -6 \) is \( x = 1 \).

Would you like more details on this solution or have any other questions? Here are some additional aspects to explore:
1. What would \( f(x) \) be if \( x \) was 0?
2. How can you graph the function \( f(x) = -x - 5 \)?
3. What is the inverse of the function \( f(x) = -x - 5 \)?
4. How does the solution change if \( f(x) \) is set to a different value?
5. What are the domain and range of \( f(x) = -x - 5 \)?

**Tip:** Always check your solutions by substituting them back into the original equation to confirm they satisfy the equation.

Given f(x) = -x - 5, solve for x when f(x) = -6.

Learn how to solve the linear equation f(x) = -x - 5 when f(x) = -6. This step-by-step solution covers basic algebraic concepts and linear equations, suitable for students in Grades 6-8.

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