document.write( "Question 259561: k(t)=t/t^2-14t+33
\n" ); document.write( "What is the domain of this rational expression? \n" ); document.write( "

Algebra.Com's Answer #191185 by Fombitz(32388) $\"\"$ $\"About$

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All t other than the values that make the denominator equal to zero.
\n" ); document.write( " $\"+t%5E2-14t%2B33=%28t-11%29%28t-3%29=0\"$
\n" ); document.write( " $\"t-11=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"t=11\"$ \r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( " $\"t-3=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"t=3\"$ \r
\n" ); document.write( "\n" ); document.write( "The domain is then
\n" ); document.write( "( $\"-infinity\"$ , $\"3\"$ ) U ( $\"3\"$ , $\"11\"$ ) U ( $\"11\"$ , $\"infinity\"$ )
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-5%2C+15%2C+-5%2C+5%2C+x%2F%28x%5E2-14x%2B33%29%29+\"$ \n" ); document.write( "

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