Whe of $$ x $$ for which $$ \frac{2 x-1}{x^{2}+2 x+1} $$ is not defined.

Question

UpStudy AI · Accepted Answer

To determine the values of $$ x $$ for which the function

$$
\frac{2x - 1}{x^{2} + 2x + 1}
$$

is **not defined**, we need to identify where the denominator is equal to zero, since division by zero is undefined.

1. **Set the denominator equal to zero and solve for $$ x $$:**

$$
x^{2} + 2x + 1 = 0
$$

2. **Factor the quadratic equation:**

$$
(x + 1)^2 = 0
$$

3. **Solve for $$ x $$:**

$$
x + 1 = 0 \quad \Rightarrow \quad x = -1
$$

**Conclusion:** The function is **not defined** when $$ x = -1 $$.

**Answer:**  
The expression is undefined for x = –1.
The function is undefined when $$ x = -1 $$.

Whe of for which is not defined.