document.write( "Question 840989: What is the implied domain of the function f(x) (square root of 4x-9)/x^2-81? Express answer in interval notation. \n" ); document.write( "

Algebra.Com's Answer #506552 by Fombitz(32388) $\"\"$ $\"About$

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Two issues to check : argument of the square root, division by zero.
\n" ); document.write( "The argument of the square root cannot be negative.
\n" ); document.write( " $\"4x-9%3E=0\"$
\n" ); document.write( " $\"4x%3E=9\"$
\n" ); document.write( " $\"x%3E=9%2F4\"$
\n" ); document.write( "The denominator cannot equal zero.
\n" ); document.write( " $\"%28x%5E2-81%29=%28x%2B9%29%28x-9%29\"$
\n" ); document.write( " $\"x-9=0\"$
\n" ); document.write( " $\"x=9\"$
\n" ); document.write( "So $\"x=9\"$ is not in the domain.
\n" ); document.write( "So the interval is,
\n" ); document.write( "( $\"9%2F4\"$ , $\"9\"$ )U( $\"9\"$ , $\"infinity\"$ ) \n" ); document.write( "

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