1. **State the problem:** We need to find the value of the composite function $f(g(-2))$. 2. **Understand the functions:** From the description, $g$ is a wavy curve oscillating between $0$ and $2$, and $f$ is a V-shaped function with vertex at $(2,0)$. 3. **Find $g(-2)$:** According to the graph description, at $x=-2$, $g$ is below $0$. Since $g$ oscillates between $0$ and $2$, and starts below $0$ at $x=-2$, we approximate $g(-2) \approx 0$ (assuming the lowest point is near $0$). 4. **Evaluate $f(g(-2)) = f(0)$:** The function $f$ has vertex at $(2,0)$ and is V-shaped, so it can be expressed as: $$f(x) = |x - 2|$$ Substitute $x=0$: $$f(0) = |0 - 2| = 2$$ 5. **Final answer:** $$f(g(-2)) = 2$$