9
lesson pretestMultiple Choice

Pretest

Question 9 • Math 3

If f of x is equal to square root of 1 half x minus 10 end root plus 3 , which inequality can be used to find the domain of f of x ?

Answer
A
1 half x minus 10 is greater than or equal to 0
B
1 half x is greater than or equal to 0
C
square root of 1 half x is greater than or equal to 0
D
square root of 1 half x minus 10 end root plus 3 is greater than or equal to 0

Explanation

For a square root to be a real number, the expression inside the radical must be greater than or equal to 0. Here the radicand is one-half x minus 10, so the domain is found by solving one-half x minus 10 ≥ 0. The inequality is choice D: 1/2 x − 10 ≥ 0.

AI-written and checked against the verified answer.

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