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3(g(x))^2-1= 3x^2+6x+2
3(g(x))^2=3x^2+6x+2+1
3(g(x))^2=3x^2+6x+3
g(x)^2=x^2+2x+1
g(x)^2=(x+1)^2
g(x)=x+1