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To find the inverse of the function \( g(x) = -3(x + 6) \), we need to follow these steps:

1. **Rewrite the function** in terms of \( y \):
   \[
   y = -3(x + 6)
   \]

2. **Switch \( x \) and \( y \)** to find the inverse:
   \[
   x = -3(y + 6)
   \]

3. **Solve for \( y \)**:
   - First, divide both sides by \(-3\):
     \[
     \frac{x}{-3} = y + 6
     \]
   - Simplify the division:
     \[
     -\frac{x}{3} = y + 6
     \]
   - Subtract 6 from both sides to solve for \( y \):
     \[
     y = -\frac{x}{3} - 6


What is the inverse of the function g(x) = -3(x + 6)?

Discover how to find the inverse of the function g(x) = -3(x + 6) with a step-by-step solution. This problem explores key algebraic concepts, including inverse functions, making it suitable for students in Grades 9-10.

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