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If x²=144, then x= positive 12 and x= negative 12.
I have no idea what the '72' is doing in there.
If it means x²=144.72 , then
x = +/- 12.03 (rounded)
Oh wait. Now I understand what the 72 is. It's one of the answer choices.
Specifically, it's the customary absurd choice for students who have no clue.
Function g(x) is a transformation of f(x) 3 units down and 6 units left
Hope this helps!