Question

Please help the screenshot is below. Find the domain. THE ANSWER IS NOT x≠2.

Answer 1

x>2 or (2,∞)

Explanation:

if x≤2, 3*|2-x| = 3*(2-x) = 6-3x

3*|2-x| +3x-6 = (6-3x) + 3x-6 = 0 ... f(x) -> ∞ denominator = 0

if x>2, 3*|2-x| = 3*-(2-x) = -6+3x

3*|2-x| +3x-6 = (-6+3x) + 3x-6 = 6x - 12 >0