document.write( "Question 941497: What is the domain of g(x)= x+7/x^2-8x+15? \n" ); document.write( "

Algebra.Com's Answer #573902 by srinivas.g(540) $\"\"$ $\"About$

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$\"g%28x%29+=%28x%2B7%29%2F%28x%5E2-8x%2B15%29\"$
\n" ); document.write( " denominator = x^2-8x+15
\n" ); document.write( " on factorizing the denominator
\n" ); document.write( " $\"x%5E2-8x%2B15+=+x%5E2-3x-5x%2B15\"$
\n" ); document.write( " = $\"x%28x-3%29-5%28x-3%29\"$
\n" ); document.write( " = $\"%28x-3%29%28x-5%29\"$
\n" ); document.write( "the above expression becomes 0 , when x= either 3 or 5
\n" ); document.write( "for the function to exist, denominator should not be 0
\n" ); document.write( " hence domain is all real number expect 3 & 5
\n" ); document.write( "Result : Domain = R-{3,5}
\n" ); document.write( " R= all near numbers set \n" ); document.write( "

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