In this paper, we consider the oscillation and nonoscillation of solutions of the second order nonlinear functional differential equation [\y'(t)\(alpha)sgn y'(t)]' + q(t)f(y(g(t))) = 0, t greater than or equal to t(0) > 0, where alpha > 0 is a constant, q(t) is an element of C([t(0),infinity);(0,infinity)), f(y) is an element of C(R;R), g'(t) > 0 on [t,infinity), and lim(t-->infinity) g(t) = infinity.