下列各组函数中,表示同一函数的是
A. \(y=2\lg x,y=\lg {x}^{2} \)
B. \(f\left( x \right)={{\left( x-1 \right)}^{0}},g\left( x \right)=1\) C. \(f\left( x \right)=\dfrac{{{x}^{2}}-1}{x-1},g\left( x \right)=x+1\) D. \(f\left( x \right)=\sqrt{{{x}^{2}}},g\left( t \right)=\left| t \right|\)