Given g, of, x, equals, minus, x, minus, 4g(x)=−x−4, solve for xx when g, of, x, equals, 9g(x)=9.

To solve for \( x \) when \( g(x) = 9 \), given the function \( g(x) = -x - 4 \), we start by setting the function equal to 9 and then solving for \( x \).

\[
g(x) = -x - 4
\]

We set \( g(x) = 9 \):

\[
-x - 4 = 9
\]

Next, we solve for \( x \):

1. Add 4 to both sides:

\[
-x = 9 + 4
\]
\[
-x = 13
\]

2. Multiply both sides by -1:

\[
x = -13
\]

So, the solution is:

\[
x = -13
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is the value of \( g(5) \) for the function \( g(x) = -x - 4 \)?
2. Solve for \( x \) if \( g(x) = -7 \) in the function \( g(x) = -x - 4 \).
3. What is the inverse of the function \( g(x) = -x - 4 \)?
4. If \( h(x) = 2x + 1 \), find \( g(h(x)) \).
5. Solve the equation \( -x - 4 = 0 \) for \( x \).

**Tip:** Always check your solution by substituting it back into the original function to ensure it satisfies the given condition.

Given g(x) = -x - 4, solve for x when g(x) = 9.

Learn how to solve the linear equation g(x) = -x - 4, where g(x) = 9, in a step-by-step manner. This problem introduces key algebra concepts such as solving linear equations. Ideal for students in Grades 6-8.

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