For real values of x, the range of the function f(x)=2x−32x2+4x−6f(x)=\dfrac{2x-3}{2x^{2}+4x-6}f(x)=2x2+4x−62x−3 is
(−∞,18]∪[1,∞)\left(-\infty,\frac{1}{8}\right] \cup[1,\infty)(−∞,81]∪[1,∞)
(−∞,14]∪[1,∞)\left(-\infty,\frac{1}{4}\right] \cup[1,\infty)(−∞,41]∪[1,∞)
(−∞,18]∪[12,∞)\left(-\infty,\frac{1}{8}\right] \cup[\frac{1}{2},\infty)(−∞,81]∪[21,∞)
(−∞,14]∪[12,∞)\left(-\infty,\frac{1}{4}\right] \cup[\frac{1}{2},\infty)(−∞,41]∪[21,∞)