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we dont have negative value inside the log function for that log(base 12)(x^2+4x+4) has to be greater than zero. but it has base 12 so (x^2+4x+4) has to be greater than 12 for log(base 12)(x^2+4x+4) >0
therefore (x^2+4x+4) >12
x^2+4x-8 >0
(x-2)^2>0
this implies domain is x>2
Range is {-R,R}
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