The domain for f(x) is all real numbers greater than or equal to -4
How to determine the domain of the function?
The equation of the function is given as
g(x) ≥ -2√(1/2x + 2)
For the function to have real values,
We need to set the radical to at least 0
This means that we set 1/2x + 2 to greater than or equal to 0
So, we have the following representation
1/2x + 2 ≥ 0
Subtract 2 from both sides
1/2x ≥ -2
Multiply both sides by 2
x ≥ -4
Hence, the domain is all real numbers that are at least -4
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