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function compose(f,g) return function(...) return f(g(...)) end end
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fn = {math.sin, math.cos, function(x) return x^3 end}
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inv = {math.asin, math.acos, function(x) return x^(1/3) end}
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for i, v in ipairs(fn) do
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local f = compose(v, inv[i])
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print(f(0.5))
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end
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