D
M:f(g(x))=(3 x-2) 2-4(3 x-2)+3>0,
令t=3 x-2,则原不等式等价于t 2-4t+3>0,解得t>3或t<1,
∴3 x-2>3或3 x-2<1.
∴3 x>5或3 x<3.
∴x>log 35或x<1.
即M={x|x>log 35或x<1}.
N:3 x-2<2⇒3 x<4⇒x
3 4,
∴N={x|x
3 4},
∴M∩N={x|x<1},故选D.
D
M:f(g(x))=(3 x-2) 2-4(3 x-2)+3>0,
令t=3 x-2,则原不等式等价于t 2-4t+3>0,解得t>3或t<1,
∴3 x-2>3或3 x-2<1.
∴3 x>5或3 x<3.
∴x>log 35或x<1.
即M={x|x>log 35或x<1}.
N:3 x-2<2⇒3 x<4⇒x
3 4,
∴N={x|x
3 4},
∴M∩N={x|x<1},故选D.