Question

the expression \\(\frac{x - 2}{x + 3}\\) is undefined when \\(x\\) is equal to

1. \\(-3\\)
2. \\(2\\)
3. \\(3\\)
4. \\(-2\\)

Explanation:

Step1: Recall when a fraction is undefined

A fraction $\frac{a}{b}$ is undefined when the denominator $b = 0$.

Step2: Set the denominator equal to zero

For the expression $\frac{x - 2}{x + 3}$, the denominator is $x + 3$. Set $x + 3 = 0$.

Step3: Solve for x

Solve the equation $x + 3 = 0$. Subtract 3 from both sides: $x = - 3$.

Answer:

1. $-3$