SOLUTION: hello! I am trying to solve for the domain of the square root of 5x-3 I thought it was all real numbers and I've tried everything.

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Question 459922: hello! I am trying to solve for the domain of the square root of 5x-3
I thought it was all real numbers and I've tried everything.
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Domain defines all possible values 'x' can take.
In this case, you don't want the value under the radical to go negative -- because if it does, the result is imaginary. Therefore:
5x-3 >= 0
5x >= 3
x >= 3/5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
domain of the square root of 5x-3
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sqrt(5x-3)
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Procedure to determine domain:
5x-3 cannot be negative.
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Solve 5x-3 >= 0
5x >= 3
x >=3/5
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Domain: All Real Numbers >= 3/5
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Look at the graph and you'll see the domain is >= 3/5.
graph%28400%2C300%2C-10%2C20%2C-10%2C20%2Csqrt%285x-3%29%29
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Cheers,
Stan H.