Which of the following pairs of functions are equal ?

Question

(A) $f(x)=\large\frac{x}{|x|}$ $and\:\:g(x)=1$ (B) $f(x)=\sqrt {x^2}\:\:and\:\:g(x)=|x|$ (C) $f(x)=\large\frac{|x|}{x^2}$ $and\:\:g(x)=\frac{1}{x}$ (D) $f(x)=\sqrt {x^2}\:\:and\:\:g(x)=x$