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If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?
StartRoot one-half x EndRoot greater-than-or-equal-to 0
One-half x greater-than-or-equal-to 0
One-half x minus 10 greater-than-or-equal-to 0
StartRoot one-half x minus 10 EndRoot + 3 greater-than-or-equal-to 0

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MrRoyal

The inequality that represents the domain of the function is [tex]\frac 12x - 10 \ge 0[/tex]

How to determine the domain?

The function is given as:

[tex]f(x) = \sqrt{\frac 12x - 10} + 3[/tex]

Set the radicand greater than or equal to 0

[tex]\frac 12x - 10 \ge 0[/tex]

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20  

Hence, the domain of the function is x ≥ 20  

Read more about domain at:

https://brainly.com/question/1770447

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aligal07

Answer:

C. One-half x minus 10 greater-than-or-equal-to 0

Step-by-step explanation:

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