若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?

来源：学生作业帮助网 编辑：六六作业网 时间：2024/05/11 18:53:13
若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?令

若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?
若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?

若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=?
令 t= x-1 则 x=1+t
原式可为
3f(t) + 2f(-t)=2+2*t .(1)
将-t放入等式
3f(-t) + 2f(t) = 2 + 2 * (-t).(2)
(1)+(2) 得
5f(t) + 5f(-t) = 4 ---> f(t) + f(-t) = 4/5 -------(3)
(1)-(2) 得
f(t) - f(t) = 4t .(4)
(3) + (4) 得
2f(t)=4t + 4/5
所以
f(t)= 2t + 2/5
即
f(x)=2x+ 2/5

若f(x)满足f(x)-2f(1/x)=x,则f(x)=? 若F(x)满足f(x)+2f(1/x)=x,则f(x)= 已知f(x)满足2f(x)+f(1/x)=3x,求f(x) F(X)满足F(x)+2f(x分之1)=3X,求f(x) 已知f(x)满足2f(x)+f(1/x)=3x,求f(x)? 已知f(x)满足2f(x)+f(-x)=-3x+1,求f(x) 已知f(x)满足f(x)+2f(1/x)=3x,求f(x) , 若一次函数f(x) 满足f[f（x)]=1+2x 求f(x) f(x)满足f(-x)+2f(x)=x+3,则f(1)等于 若f(x)满足3f(x-1)+2f(1-x)=2x,则f(x)=? (1)若f(x)满足2f(x)+f(1/x)=3x,求f(x). 若函数f(x)满足f(x)-2f(1/x)=3x+2,则f(x)为? 若函数f(x)满足关系式f(x) 2f(1/x)=3x,则f(x)= 若函数f(x)满足3f(x)+2f(-1/x)=4x,求f(x) 若f(x)满足关系式f(x)+2f(1/x)=3x,则f(x)的表达式是什么 若f(x)满足f(x)+2f(1/x)=3x,则f（x）=? 若函数f(x)满足f(x)+2f(1/x)=3x,则f(2)的值为 若函数f(x)满足f(x)+2f(1/x)=3x,则f(2)的值为?