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#1cf51577-9ef8-4758-8b0c-ebd7ea71c9ce中等解答题函数的图象与变换函数

10.已知函数f(1x)=6f(x+1)f(1-x)=6-f(x+1)g(x)=3x+1x1g(x)=\frac{3x+1}{x-1},若函数f(x)f(x)g(x)g(x)的图象有4个交点(x1(x_{1}y1)y_{1})(x2(x_{2}y2)y_{2})(x3(x_{3}y3)y_{3})(x4(x_{4}y4)y_{4}),则(x1+x2+x3+x4)+(y1+y2+y3+y4)=(x_{1}+x_{2}+x_{3}+x_{4})+(y_{1}+y_{2}+y_{3}+y_{4})=[ 16 ].