document.write( "Question 784598: Find the vertical asymptotes, if any, of the graph of the rational function.\r
\n" ); document.write( "\n" ); document.write( "g(x)=x/x^2-16 \n" ); document.write( "

Algebra.Com's Answer #477153 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"g%28x%29=x%2F%28x%5E2-16+%29++\"$ \r
\n" ); document.write( "\n" ); document.write( "since $\"%28x%5E2-16+%29++\"$ is denominator, domain will be all real numbers $\"x\"$ except value of $\"x\"$ that makes denominator equal to zero and these are:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-16+%29=0++\"$ ....factor completely\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-4%5E2%29=0++\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%28x%2B4%29=0++\"$ \r
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\n" ); document.write( " $\"%28x-4%29=0++\"$ => $\"x=4\"$ \r
\n" ); document.write( "\n" ); document.write( "or
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\n" ); document.write( " $\"%28x%2B4%29=0++\"$ => $\"x=-4\"$ \r
\n" ); document.write( "\n" ); document.write( "so, vertical asymptotes are: $\"x=4\"$ and $\"x=-4\"$ \r
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