document.write( "Question 937709: ﬁnd the domain of the indicated function.
\n" ); document.write( "Express answers in both interval notation and inequality notation.\r
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\n" ); document.write( "\n" ); document.write( "L(u) = √(3u^2 )+4 \n" ); document.write( "

Algebra.Com's Answer #571133 by MathLover1(20850) $\"\"$ $\"About$

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$\"L%28u%29+=+sqrt%283u%5E2+%29%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( "since we have a product $\"3u%5E2+\"$ under radical sign,note that we cannot have a negative value under the square root sign or we will end up with a complex number, but $\"u%5E2+\"$ will give as positive value for all values of $\"u\"$ whether is positive or negative number; whatever is under the root sign will be greater than or equal to $\"0\"$ and we will have a solution \r
\n" ); document.write( "\n" ); document.write( "for $\"u%5E2+=0\"$ => $\"L%28u%29+=+4\"$ , for other values of $\"u%5E2+\"$ we will have $\"L%28u%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the domain is: \r
\n" ); document.write( "\n" ); document.write( " $\"R\"$ (all real numbers)\r
\n" ); document.write( "\n" ); document.write( "( $\"-infinity\"$ , $\"infinity\"$ )\r
\n" ); document.write( "\n" ); document.write( "( $\"-infinity%3C=u%3C=infinity\"$ )\r
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