设f(1-x)=x^2-x,则f(x)=?3Q

问题描述:

设f(1-x)=x^2-x,则f(x)=?3Q

f(1-x) = x^2 - x ==> f[1 - (1-x)] = (1-x)^2 - (1-x) ==> f (x) = (1-x)^2 - (1-x) ==> f (x) = (1-x)(1-x - 1) ==> f (x) = x(x-1)