Find the domain and range of the function f(x) = √(36 - x^2) and express it in interval notation, using U for the union of sets. Domain: (-6, 6) Range: [0, 6]
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The function is defined as f(x) = √(36 - x^2). The square root function is defined only for non-negative values, so we need to ensure that the expression inside the square root is non-negative. Therefore, we have: 36 - x^2 ≥ 0 Solving for x, we get: x^2 ≤ Show more…
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