由函數(shù)f(x)的圖象關(guān)于點(diǎn)(1,2)對(duì)稱,可得 f(x+1)+f(1-x)=4,對(duì)任何x都成立在上式中,
取x=3,得到 f(4)+f(-2)=4,又f (4)=0
∴f(-2)=4∴f-1(4)=-2
故應(yīng)填-2
設(shè)函數(shù)f(x)的圖象關(guān)于點(diǎn)(1,2)對(duì)稱,且存在反函數(shù)f-1(x),f (4)=0,則f-1(4)=_.
設(shè)函數(shù)f(x)的圖象關(guān)于點(diǎn)(1,2)對(duì)稱,且存在反函數(shù)f-1(x),f (4)=0,則f-1(4)=______.
數(shù)學(xué)人氣:589 ℃時(shí)間:2019-08-19 20:51:12
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