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Let f(x) = 1 + 4x - x^(2), AA x in R g...

Let `f(x) = 1 + 4x - x^(2), AA x in R`
`g(x) = max {f(t), x le t le (x + 1), 0 le x lt 3} = min {(x + 3), 3 le x le 5}` Verify conntinuity of g(x), for all `x in [0, 5]`

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