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)![]() ![]() ![]() You can put this solution on YOUR website! what is the domain and range of the function ... f(x) = x/(x^2+6x) \n" ); document.write( "*** \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) \n" ); document.write( ".. \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, ∞) \n" ); document.write( ".. \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, ∞) \n" ); document.write( " |