document.write( "Question 336101: I need help determining which value, if any, should be excluded from the domain of the variable in the expression 8/x+7 \n" ); document.write( "

Algebra.Com's Answer #241028 by Earlsdon(6294) $\"\"$ $\"About$

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With an expression such as you have here: $\"8%2F%28x%2B7%29\"$ in which the variable (x) appears in the denominator, you must exclude all values of the variable that would make the denominator equal zero.
\n" ); document.write( "So, looking at the denominator, if we set it equal to zero we can find those values:
\n" ); document.write( " $\"x%2B7+=+0\"$ Subtract 7 from both sides.
\n" ); document.write( " $\"x+=+-7\"$
\n" ); document.write( "In this case, there is only one value of x that would make the denominator equal zero, and that's x = -7, so -7 should be excluded from the domain.
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