Which of the following is true of f(x) = √(4x – 1)?

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Accepted Answer

The square root of a negative value is imaginary, so the value of 4x – 1 must be greater than or equal to 0: 4x – 1 ≥ 0, 4x ≥ 1, x ≥ 1 ⁄ 4 . The domain of f(x) is all real numbers greater than or equal to 1 ⁄ 4 . Since x must be greater than or equal to 1 ⁄ 4 , the smallest value of f(x) is the square root of 0, which is 0. The range of the function is all real numbers greater than or equal to 0.

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