Question

1. identify the restrictions on the variable.

\\(\frac{x^2 - 4x - 32}{x + 4}\\)
options:
\\(x \
eq 8\\)
\\(x \
eq -4\\)
\\(x \
eq 0\\)
\\(x \
eq -4\\) and \\(x \
eq 8\\)

Explanation:

Step1: Find denominator zero condition

Set denominator \(x + 4 = 0\)

Step2: Solve for x

\(x = -4\)

Step3: Determine restriction

Variable cannot make denominator zero, so \(x
eq -4\)

Answer:

B. \(x
eq -4\)