f(x)的反函数是f-1(x),则函数f(2x-1)+1反函数是_____
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f(x)的反函数是f~(x),则函数f(2x-1)+1反函数是?由反函数定义，f(x)=y,则f~(y)=x将上式中x，y分别以(2x-1)、(y-1)代入，有：f(2x-1)=y-1,f~(y-1)=2x-1即：y=f(2x-1)+1则：2x-1=f~(y-1)x=[f~(y-1)+1]/2将x、y符号兑换：y=[f~(x-1)+1]/2∴f(2x-1)+1反函数是[f~(x-1)+1]/2
f(x)的反函数是f-1(x),则函数f(2x-1)+1反函数是_____
f(x)的反函数是f~(x),则函数f(2x-1)+1反函数是?由反函数定义，f(x)=y,则f~(y)=x将上式中x，y分别以(2x-1)、(y-1)代入，有：f(2x-1)=y-1,f~(y-1)=2x-1即：y=f(2x-1)+1则：2x-1=f~(y-1)x=[f~(y-1)+1]/2将x、y符号兑换：y=[f~(x-1)+1]/2∴f(2x-1)+1反函数是[f~(x-1)+1]/2