document.write( "Question 347663: Determine the domain and the range of the function g(x)=(4x-4)/(5x-30). \n" ); document.write( "
Algebra.Com's Answer #248505 by Fombitz(32388)\"\" \"About 
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\n" ); document.write( "\"g%28x%29=%284x-4%29%2F%285x-30%29\"
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\n" ); document.write( "The domain is all x except those that make the denominator zero (shown in blue below).
\n" ); document.write( "Domain:(\"-infinity\",\"6\") U (\"6\",\"infinity\")
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\n" ); document.write( "The range is all values except the asymptote value (shown in green below),
\n" ); document.write( "\"g%28x%29=%284%2F5%29%28%28x-1%29%2F%28x-6%29%29\"
\n" ); document.write( "\"g%28x%29=%284%2F5%29%28%281-1%2Fx%29%2F%281-6%2Fx%29%29\"
\n" ); document.write( "As x becomes infintely large, g(x) becomes,
\n" ); document.write( "\"g%28x%29=%284%2F5%29%28%281-0%29%2F%281-0%29%29\"
\n" ); document.write( "\"g%28x%29=4%2F5\"
\n" ); document.write( "Range:(\"-infinity\",\"4%2F5\") U (\"4%2F5\",\"infinity\")\r
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