y=x^5-5x^4+10x^3-10x^2+5x的反函数

题目

y=x^5-5x^4+10x^3-10x^2+5x的反函数

答案

y=x^5-5x^4+10x^3-10x^2+5x
=x^5-5x^4+10x^3-10x^2+5x+1-1
=(x-1)^5-1
=>y-1=(x-1)^5
=>(y-1)^(1/5)=x-1
=>(y-1)^(1/5)+1=x
反函数：
y=(x-1)^(1/5)+1