Question

question
for which values of x is the expression undefined?
\\(\frac{x - 3}{x + 5}\\)

Explanation:

Step1: Recall when a fraction is undefined

A rational expression (fraction) is undefined when its denominator is equal to zero, because division by zero is undefined in mathematics.

Step2: Set the denominator equal to zero

For the expression \(\frac{x - 3}{x + 5}\), we set the denominator \(x + 5\) equal to zero:

$$ x + 5 = 0 $$

Step3: Solve for x

Subtract 5 from both sides of the equation:

$$ x = -5 $$

Answer:

\(x = -5\)