document.write( "Question 1049503: Determine the domain of h(x) = 5/ sqrt 2x+10 and write it using set builder notation. \n" ); document.write( "
Algebra.Com's Answer #665128 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"h%28x%29+=+5%2F+%28sqrt+%282x%2B10+%29%29\" in a domain will be all values of \"x\" except the value that makes \"sqrt+%282x%2B10+%29\" equal to zero and that is\r
\n" ); document.write( "\n" ); document.write( "\"sqrt+%282x%2B10+%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B10+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2x=-10\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-10%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, we will exclude \"-5\" and domain is: { \"x\" element \"R\" : \"x%3C%3E-5\" }\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );