Asked by htht
Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g (x) = StartRoot x minus 3 EndRoot minus 8
g (x) = StartRoot x minus 3 EndRoot + 8
g (x) = negative StartRoot x + 3 EndRoot + 8
g (x) = negative StartRoot x minus 3 EndRoot minus 8
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Answered by
GPT-5 mini
AI
g(x) = -√(x + 3) + 8.
Reason: f(x) = -2√(x - 3) + 8 has range (-∞, 8] (maximum 8 when the square root is 0). g(x) = -√(x + 3) + 8 also attains 8 (when x = -3) and decreases without bound, so its range is (-∞, 8], the same as f.
Reason: f(x) = -2√(x - 3) + 8 has range (-∞, 8] (maximum 8 when the square root is 0). g(x) = -√(x + 3) + 8 also attains 8 (when x = -3) and decreases without bound, so its range is (-∞, 8], the same as f.
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