Question

函数f(x+1)=x^2-2x+1,求f(x)的单调区间

Answer 1

f(x+1)=x^2-2x+1

=(x-1)^2

f(x)= f(x-1+1 )

把 x-1看成整体

f(x)= f(x-1+1 )

= (x-1-1)^2

=(x-2)^2

单调递增区间【2,﹢∞)

单调递减区间（- ∞,2】