已知函数f(x-1)=x方-4x,则函数f(x+1)的表达式为:

问题描述:

已知函数f(x-1)=x方-4x,则函数f(x+1)的表达式为:

f(x-1)=x^2-4x
=(x-1)^2-2x-1
=(x-1)^2-2(x-1)-2-1
=(x-1)^2-2(x-1)-3
f(x)=x^2-2x-3
f(x+1)=(x+1)^2-2(x+1)-3
=x^2+2x+1-2x-2-3
=x^2-4