What are the domain and range of the function g(x) = 2(x+3)^2

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain:  

( − ∞ , ∞ ) , { x | x ∈ R }

Range:  

[ 0 , ∞ ) , { y | y  ≥  0 }

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