document.write( "Question 841658: Square root of x+14 over x-5 find the domain in interval form \n" ); document.write( "
Algebra.Com's Answer #507164 by fcabanski(1391)\"\" \"About 
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When looking for domain, look for two main things. 1. There can't be a - number under a square root. 2. There can't be a 0 in the denominator.


\n" ); document.write( "x+14 is under the square root, so x+14 must be >= to 0


\n" ); document.write( "x+14 = 0


\n" ); document.write( "x=-14. Set up intervals, and test a number within each interval.


\n" ); document.write( "Intervals are -infinity to -14 to infinity. A number in the first interval is -20. -20 + 14 >=0? No.


\n" ); document.write( "-14 + 14 >= 0 is true, so -14 is included.
\n" ); document.write( "A number in the second interval is 0. 0+14 >= 0? Yes. So the interval for the domain is [-14,infinity).


\n" ); document.write( "The denominator may further limit the domain. x-5 cannot = 0


\n" ); document.write( "x-5=0


\n" ); document.write( "x=5.


\n" ); document.write( "x cannot be 5.


\n" ); document.write( "The domain is [-14,5) U (5,inf) \n" ); document.write( "

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