Plug in 1/2 for each of the occurrences of x:
x^-1 + x^-2 + x^-3 + x^-4 = (1/2)^-1 + (1/2)^-2 + (1/2)^-3 + (1/2)^-4 = 1/(1/2) + 1/(1/2)^2 + 1/(1/2)^3 + 1/(1/2)^4 = 2 + 1/(1/4) + 1/(1/8) + 1/(1/16) = 2 + 4 + 8 + 16 = 30, choice (D).