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If f (x) = StartRoot 4 x + 9 EndRoot + 2, which inequality can be used to find the domain of f(x)? StartRoot 4 x EndRoot greater-than-or-equal-to 0 4 x + 9 greater-than-or-equal-to 0 4 x greater-than-or-equal-to 0 StartRoot 4 x + 9 EndRoot + 2 greater-than-or-equal-to 0

User Prophet
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2 Answers

5 votes

Final answer:

The correct inequality to find the domain of the function f(x) is 4x + 9 ≥ 0, ensuring the square root is defined for non-negative numbers.

Step-by-step explanation:

The domain of the function f(x) = √(4x + 9) + 2 can be found by considering the requirements for the function to have real values. Since square roots are defined for non-negative numbers, the expression inside the square root must be greater than or equal to zero. Therefore, the correct inequality to find the domain of f(x) is 4x + 9 ≥ 0. Solving for x will give you the domain.

User Aram Hovhannisyan
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5.0k points
2 votes

Answer:

It's option B

Step-by-step explanation:

just took the test on edge

User Haris Anwar
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4.5k points