Question

A)
Identify all x-values not in the domain of
y=(x² – 4x²) / (3x² - 6x – 24)

Answer 1

x ≠ 4 or -2

Explanation:

the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.

3x^2 - 6x - 24 ≠ 0

3(x^2 - 2x - 8) ≠ 0 (factor out a 3)

3(x - 4)(x + 2) ≠ 0 (factor equation)

x ≠ 4, x ≠ -2 (use zero product property to find zeros)