Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.

If there is more than one value, separate them with commas.

Ask by Medina Cruz. in the United States

Mar 31,2025

Question

Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.

If there is more than one value, separate them with commas.

Ask by Medina Cruz. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

The expression is undefined when the denominator is equal to zero.

1. Factor the denominator:  
   $$
   x^2+2x+1=(x+1)^2
   $$

2. Set the factored denominator equal to zero:  
   $$
   (x+1)^2=0
   $$

3. Solve for $$ x $$:  
   $$
   x+1=0 \quad \Rightarrow \quad x=-1
   $$

The excluded value is $$ x = -1 $$.
The expression is undefined when $$ x = -1 $$.