document.write( "Question 346701: What is the domain of 3x+7/(4x+2)(x-1). Please show work! \n" ); document.write( "

Algebra.Com's Answer #247885 by jim_thompson5910(35256) $\"\"$ $\"About$

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If there's one thing you should never forget it's that you CANNOT divide by zero. So if you have something like $\"1%2Fx\"$ , this means that $\"x%3C%3E0\"$ (otherwise you'll have a division by zero error). So if we extend this idea to $\"%283x%2B7%29%2F%28%284x%2B2%29%28x-1%29%29\"$ , then we'll notice that the denominator $\"%284x%2B2%29%28x-1%29\"$ can't be equal to zero. \r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%284x%2B2%29%28x-1%29%3C%3E0\"$ . So if you solve the equation $\"%284x%2B2%29%28x-1%29=0\"$ , then you'll find the x values that make the denominator equal to zero. So this means that those values will be excluded from the domain.\r
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\n" ); document.write( "\n" ); document.write( "So your answer will be in the form: \"The domain is the set of all real numbers except x cannot equal (the x values that make the denominator zero)\" \n" ); document.write( "

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