document.write( "Question 831698: what is the domain of ?\r
\n" ); document.write( "\n" ); document.write( "f(x)=(x-2/x^2-4 )\r
\n" ); document.write( "\n" ); document.write( "(i've substituted parentheses for the square root symbol. just to clarify, the whole function is square rooted. thanks!) \n" ); document.write( "

Algebra.Com's Answer #501735 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Look for values where the function is not defined.
\n" ); document.write( "Example : When the denominator goes to zero, when the argument of a square root becomes negative.
\n" ); document.write( "In this case, you have a removable discontinuity because of the numerator.
\n" ); document.write( " $\"f%28x%29=sqrt%28%28x-2%29%2F%28x%5E2-4%29%29\"$
\n" ); document.write( " $\"f%28x%29=sqrt%28%28x-2%29%2F%28%28x%2B2%29%28x-2%29%29%29\"$
\n" ); document.write( " $\"f%28x%29=sqrt%281%2F%28x%2B2%29%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"x%5E2-4=0\"$
\n" ); document.write( " $\"x%2B2=0\"$
\n" ); document.write( " $\"x=-2\"$
\n" ); document.write( "Additionally,
\n" ); document.write( " $\"1%2F%28x%2B2%29%3E0\"$
\n" ); document.write( " $\"x%2B2%3E0\"$
\n" ); document.write( " $\"x%3E-2\"$
\n" ); document.write( "So the domain is $\"x%3E-2\"$
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%28x-2%29%2F%28x%5E2-4%29%29%29+\"$ \n" ); document.write( "

\n" );