SOLUTION: Find the domain of the function: f(x)= square root of (2x-8) ...then write your solution in interval notation

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Question 103625: Find the domain of the function: f(x)= square root of (2x-8)
...then write your solution in interval notation
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%282x-8%29 Start with the given expression

Remember you cannot take the square root of a negative value. So that means the argument 2x-8 must be greater than or equal to zero (i.e. the argument must be positive)

2x-8%3E=0 Set the inner expression greater than or equal to zero

2x%3E=0%2B8Add 8 to both sides


2x%3E=8 Combine like terms on the right side


x%3E=%288%29%2F%282%29 Divide both sides by 2 to isolate x



x%3E=4 Divide


So that means x must be greater than or equal to 4
So here is the domain in interval notation: [4,)


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of the function: f(x)= square root of (2x-8)
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2x-8 must be >= zero
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2x-8 >=0
2x >=8
x >= 4
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Domain is all Real Numbers greater than or equal to four.
[4,inf)
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Cheers,
Stan H.