document.write( "Question 484123: what is the domain and range of the function ... f(x) = x/(x^2+6x) \n" ); document.write( "
Algebra.Com's Answer #331473 by lwsshak3(11628)\"\" \"About 
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what is the domain and range of the function ... f(x) = x/(x^2+6x)
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\n" ); document.write( "Domain is a set of all possible inputs (x-values) for which the function is defined.
\n" ); document.write( "Range is a set of all possible outputs (y-values)
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\n" ); document.write( "f(x)=x/(x^2+6x)
\n" ); document.write( "x/x(x+6)
\n" ); document.write( "To find the domain, set denominator=0, then solve for x
\n" ); document.write( "x+6=0
\n" ); document.write( "x≠-6
\n" ); document.write( "x≠0
\n" ); document.write( "Domain: (-∞,-6) U (-6, 0) U (0, ∞)
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\n" ); document.write( "Note that the x-axis or y=0 is an asymptote of given function, so 0 is not within the range.
\n" ); document.write( "Range: (-∞, 0) U (0, ∞)
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