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Find the value of x so that the function has the given value:




To find the value of \( x \) that makes \( g(x) = -3 \), we start with the given function:

\[
g(x) = 6 - \frac{x}{3}
\]

We set \( g(x) = -3 \) and solve for \( x \):

\[
6 - \frac{x}{3} = -3
\]

1. Subtract 6 from both sides:

\[
-\frac{x}{3} = -9
\]

2. Multiply both sides by -3 to isolate \( x \):

\[
x = 27
\]

So, the value of \( x \) is \( \boxed{27} \).

Would you like more details or have any questions?

### Related Questions:
1. What is the process for solving linear equations like this in general?
2. How can you verify that \( x = 27 \) is indeed the solution for \( g(x) = -3 \)?
3. What happens to \( g(x) \) as \( x \) increases or decreases significantly?
4. How would the solution change if the equation were \( g(x) = c \), where \( c \) is any other constant?
5. Can you express \( g(x) \) in a different form, like solving for \( x \) in terms of \( g(x) \)?

### Tip:
When solving equations, isolating the variable step by step and performing inverse operations systematically ensures accuracy.

Find the value of x so that the function has the given value: g(x) = 6 - x/3 ; g(x) = -3

Learn how to solve the linear equation g(x) = 6 - x/3 to find the value of x when g(x) = -3. This problem involves algebraic concepts and step-by-step equation solving. Suitable for students in Grades 7-9.

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