Find all numbers that must be excluded from the domain of the following rational expression.

Question

Find all numbers that must be excluded from the domain of the following rational expression. $$ \frac{2}{x+8} $$

UpStudy AI · Accepted Answer

1. The domain of a rational expression is all real numbers except for those that make the denominator equal to zero.

2. For the expression $$ \frac{2}{x+8} $$, the denominator is $$ x+8 $$.

3. Set the denominator equal to zero and solve for $$ x $$:
   $$
   x+8=0
   $$

4. Subtract 8 from both sides:
   $$
   x=-8
   $$

5. Therefore, $$ x = -8 $$ must be excluded from the domain.
$$ x = -8 $$ must be excluded from the domain.

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