SOLUTION: find the domain of the function: f(s)= the square root of s-1/s-4

Question 342655: find the domain of the function: f(s)= the square root of s-1/s-4
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Arguments for the square root function must be non-negative.

Break up the number line into three regions.
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Region 1:(,]
Region 2:[,)
Region 3:(,)
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is allowed, is not allowed since the function is undefined.
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Choose a point in each region (not an endpoint).
Test the inequality.
If the inequality is satisifed, the region is part of the solution.
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Region 1:

True, this region is part of the solution region.
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Region 2:

False, this region is part of the solution region.
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Region 1:

True, this region is part of the solution region.
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Domain:(,]U(,)

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