22.已知函數(shù)y=f(x)的圖象關(guān)于坐標(biāo)原點(diǎn)成中心對(duì)稱圖形的充要條件是函數(shù)y=f(x)為奇函數(shù).可以將其推廣為:函數(shù)y=f(x)的圖象關(guān)于點(diǎn)P(m,n)成中心對(duì)稱圖形的充要條件是函數(shù)y=f(x+m)-n為奇函數(shù).已知函數(shù)
,a>0且a≠1.
(1)利用上述結(jié)論,求函數(shù)f(x)的對(duì)稱中心;
(2)若對(duì)于?x∈[2,3],不等式f(a(4
x+2
x))+f(1-2
x)≤0恒成立,求實(shí)數(shù)a的取值范圍.