document.write( "Question 1187367: Explain why the function f(x)=(5x-15)/(x-3) is not asymptotic to the line x=3. Sketch the graph of this function. \n" ); document.write( "

Algebra.Com's Answer #818309 by josgarithmetic(39800) $\"\"$ $\"About$

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Factor of 1 occurs, so f has a missing point instead.\r
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\n" ); document.write( "\n" ); document.write( " $\"%285x-15%29%2F%28x-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%28%28x-3%29%2F%28x-3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%2A1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5\"$ -------------BUT x cannot be 3 because f(x) cannot accept that input value.\r
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\n" ); document.write( "\n" ); document.write( "f will be 5 everywhere except is empty (no point there) for x=3. \n" ); document.write( "

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