9
QuizMultiple Choice

Square Root and Absolute Value Functions — Test

Question 9 • Algebraic Reasoning

What is the domain of the function y is equal to 2 square root of x minus 5 end root ?

Answer
A
x is greater than or equal to 2
B
x is greater than or equal to 10
C
x is greater than or equal to negative 5
D
x is greater than or equal to 5

Explanation

For a square root to produce a real number, the expression inside the radical must be at least 0. Here the radicand is x − 5, so x − 5 ≥ 0, which gives x ≥ 5. The domain is therefore all real numbers greater than or equal to 5, choice C.

AI-written and checked against the verified answer.

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