document.write( "Question 447166: state the domain: f(x)= 5x-4/10x^3-6x^2 \n" ); document.write( "

Algebra.Com's Answer #307893 by htmentor(1343) $\"\"$ $\"About$

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The domain of the function is all values for which the function is defined.
\n" ); document.write( " $\"f%28x%29+=+%285x-4%29%2F%2810x%5E3-6x%5E2%29\"$
\n" ); document.write( "The denominator can be factored as $\"2x%5E2%285x+-+3%29\"$
\n" ); document.write( "So $\"f%28x%29+=+%285x-4%29%2F%282x%5E2%285x-3%29%29\"$
\n" ); document.write( "The function is undefined where the denominator equals zero.
\n" ); document.write( "x = 0 and x = 3/5
\n" ); document.write( "So the domain is (- $\"infinity\"$ ,0) U (0,3/5) U (3/5, $\"infinity\"$ )
\n" ); document.write( "The graph is below:
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%285x-4%29%2F%2810x%5E3-6x%5E2%29%29\"$ \n" ); document.write( "

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