document.write( "Question 846412: What is the domain in interval notation of the rational function: f(x) = 8x^2+2x-3/x^2-4x ?
\n" ); document.write( "The example in my book shows me this example: 2x+3/2x^2-7x-4
\n" ); document.write( "2x^2-7x-4 =0
\n" ); document.write( "(2x +1)(x-4)=0
\n" ); document.write( "2x+1=0 or x-4=0
\n" ); document.write( "X=-1/2 or 4
\n" ); document.write( "I don't understand where the 7 went in this example, or what I would do with my question. \n" ); document.write( "

Algebra.Com's Answer #509711 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
The denominator of the example was factored so that the undefined values of x could be identified. The 7 appears as a factor on one of the terms of the general polynomial; but it does NOT appear in the factorization. \r
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\n" ); document.write( "\n" ); document.write( "The question of \"what is the domain\", requires knowing for what values of x in the rational function is defined and for what values of x the function is undefined. Division by zero is impossible, so you want to find which values of x in the denominator would make the denominator equal to zero. x must not be values which make the denominator equal to zero.\r
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\n" ); document.write( "\n" ); document.write( "Properly written, your given function is $\"f%28x%29+=+%288x%5E2%2B2x-3%29%2F%28x%5E2-4x%29\"$
\n" ); document.write( "The grouping symbols are necessary when using pure text, even if you have the rendering tags. LOOK AT THE DENOMINATOR! This must be nonzero. The domain of f will be the real values of x for which $\"x%5E2-4x%3C%3E0\"$ . \n" ); document.write( "

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