document.write( "Question 937715: find the domain of the indicated function.
\n" ); document.write( "Express answers in both interval notation and inequality notation.\r
\n" ); document.write( "\n" ); document.write( "h(z) = 2/(4-z)
\n" ); document.write( "

Algebra.Com's Answer #571127 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"h%28z%29+=+2%2F%284-z%29\" => denominator cannot be equal to zero\r
\n" ); document.write( "\n" ); document.write( " if \"%284-z%29=0\" that will not be a fraction; its value is undefined because the denominator has a value of zero \r
\n" ); document.write( "\n" ); document.write( "so, find a value that makes denominator equal to zero and exclude it from solution\r
\n" ); document.write( "\n" ); document.write( "\"%284-z%29=0\"=> \"z=4\"\r
\n" ); document.write( "\n" ); document.write( "the domain is:\r
\n" ); document.write( "\n" ); document.write( "{ \"z\" element \"R\" : \"z%3C%3E4\" }(assuming a function from reals to reals)\r
\n" ); document.write( "\n" ); document.write( "(\"-infinity\",\"4\")U (\"4%7D%2C%7B%7B%7Binfinity\")\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "(\"-infinity%3C4%3Cinfinity\")\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );