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MathNet 2023-part-01 — 191 problems (EN–VI) Question 124

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 124

Given the functions $f(x) = |x-2| - |x-4|$ and $g(x) = |x-8| - 2$. Find the area of the figure with vertices, the intersection points of the graphs of the functions $f(x)$ and $g(x)$ and the intersection points of the graph of $g(x)$ with the x-axis.
(Nedyalka Dimitrova)