Given the function, f(x)=(√x−7)𝑓(𝑥)=(𝑥−7), what is the domain written in interval notation?Question 5Select one:a.[7, ∞)b.x ≤ 7c.x ≥ 7d.(−∞, ∞)e.(7, ∞)
Question
Given the function, f(x)=(√x−7)𝑓(𝑥)=(𝑥−7), what is the domain written in interval notation?Question 5Select one:a.[7, ∞)b.x ≤ 7c.x ≥ 7d.(−∞, ∞)e.(7, ∞)
Solution
The domain of the function f(x) = √(x-7) is all the values of x for which the function is defined. The square root function is only defined for non-negative values. Therefore, the domain of the function is all x such that x-7 ≥ 0. Solving this inequality gives x ≥ 7. Therefore, the domain of the function in interval notation is [7, ∞). So, the correct answer is a. [7, ∞).
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