document.write( "Question 116795: State the domain of the following:\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=+sqrt%28x-8%29\"
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Algebra.Com's Answer #84916 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Given:
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\n" ); document.write( "\"f%28x%29=+sqrt%28x-8%29\"
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\n" ); document.write( "to find the domain of x, you recognize that you can't get a real answer if you take the
\n" ); document.write( "square root of a negative number. There is no real number that can be multiplied by itself to
\n" ); document.write( "result in a negative number because of the algebraic rule that says if two numbers have the same
\n" ); document.write( "sign, their product is positive.
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\n" ); document.write( "This tells us that (x - 8) must be equal to or greater than zero so that you are taking
\n" ); document.write( "the square root of 0 or of positive numbers.
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\n" ); document.write( "In equation form we can write:
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\n" ); document.write( "\"x+-+8+%3E=+0\"
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\n" ); document.write( "Solve for x by adding 8 to both sides of this inequality to get:
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\n" ); document.write( "\"x+%3E=+8\"
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\n" ); document.write( "This tells you that the domain of x is all real numbers equal to or greater than 8.
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\n" ); document.write( "Hope this helps you to understand the problem.
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