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?