document.write( "Question 57047This question is from textbook
\n" ); document.write( ": Please help me sole this: FIND THE DOMAIN OF THIS FUNCTION: h(x)=10/(x^2-2x). \n" ); document.write( "

Algebra.Com's Answer #38794 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
FIND THE DOMAIN OF THIS FUNCTION: $\"h%28x%29=10%2F%28x%5E2-2x%29\"$ .
\n" ); document.write( "With rational functions, the domain is all real numbers EXCEPT anything that makes the denominator (the bottom of the fraction) =0.
\n" ); document.write( "In this case, your denominator is: $\"x%5E2-2x\"$
\n" ); document.write( "Factor that: $\"x%5E2-2x=x%28x-2%29\"$
\n" ); document.write( "x(x-2) cannot = 0 therefore according to the zero product property
\n" ); document.write( "x(not=)0
\n" ); document.write( "and x-2(not=)0
\n" ); document.write( "x-2+2(not=)0+2
\n" ); document.write( "x(not=)2
\n" ); document.write( "In set builder nototion the domain:{x|x(not=)0, and x(not=)2}
\n" ); document.write( "In interval notation the domain: (- infinity,2)U(2,infinity)
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

\n" );