Question

If f(x)=\sqrt{\frac{1}{2}x-10}+3, which inequality can be used to find the domain of f(x)?

Answer 1

The inequality that can be used to find the domain of the function f(x) = √((1/2)x - 10) + 3 is x ≥ 20.

Step-by-step explanation:

To find the domain of the function f(x) = √((1/2)x - 10) + 3, we need to determine the values of x that make the expression inside the square root non-negative.

First, set the expression inside the square root greater than or equal to zero:

(1/2)x - 10 ≥ 0

Next, solve this inequality for x:

(1/2)x ≥ 10

x ≥ 20

Therefore, the domain of f(x) is x ≥ 20.

Answer 2

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