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Find the domain and range of h(x) = g(f(...

Find the domain and range of h(x) = g(f(x), where
`f(x) = {([x], -2lexle-1),(|x| + 1, -1 lt x le 2) :}` and `g(x) = {([x], -pi le x le 0), (sin x, 0 lt x le pi):}`

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