已知x>1,则函数f(x)=(x²-2x+2)/(x-1)的最小值为
问题描述:
已知x>1,则函数f(x)=(x²-2x+2)/(x-1)的最小值为
答
F(X)=(x²-2x+2)/(x-1)
=(X-1)^2+1/(X-1)
=X-1+1/(X-1)
》2当且仅当x=2时取=