15
practice examMultiple Choice

Practice Exam

Question 15 • Mathematics II

If f of x is equal to square root of 4 x plus 9 end root plus 2 , which inequality can be used to find the domain of f of x ?

Answer
A
square root of 4 x plus 9 end root plus 2 is greater than or equal to 0
B
square root of 4 x is greater than or equal to 0
C
4 x is greater than or equal to 0
D
4 x plus 9 is greater than or equal to 0

Explanation

For a square root to have a real value, the expression inside the radical must be greater than or equal to 0. Here the radicand is 4x + 9, so the inequality is 4x + 9 ≥ 0. The +2 is outside the square root and does not affect the domain. Therefore, the correct choice is “4x plus 9 is greater than or equal to 0.”

AI-written and checked against the verified answer.

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