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The problem asks to find the points where the graph of the function \( g(x) = -2x - 6 \) intersects the graph of the function \( f(x) \). To solve this, you are instructed to set \( f(x) = g(x) \), then solve the equation to determine the coordinates of the intersection points.

Here’s how you can approach it:

1. **Set up the equation:**
   \[
   f(x) = g(x) = -2x - 6
   \]
   You need to know the explicit form of \( f(x) \), which isn't provided in the text. Once you have \( f(x) \), you'll equate it to \( -2x - 6 \) and solve for \( x \).

2. **Solve for \( x \):**
   After equating \( f(x) \) to \( g(x) \), rearrange the equation to isolate \( x \) and solve.

3. **Find the y-coordinate:**
   Once \( x \) is found, substitute \( x \) back into either \( f(x) \) or \( g(x) \) to find the corresponding \( y \)-coordinates.

Could you provide the equation of \( f(x) \) to proceed?

The graph of the function g(x) = -2x - 6 intersects the graph of the function f(x). Let f(x) = g(x) and solve the resulting equation to find the coordinates of the points where the graphs of f(x) and g(x) intersect.

Find the points where the graphs of two linear functions intersect by solving the equation g(x) = -2x - 6 and setting it equal to f(x). Suitable for students in Grades 9-12, this problem focuses on linear equations and graph intersections.

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