函数f(x)=x^2-2x+1(x>=1)的反函数f-1(x)=??

2024-12-26 01:50:26
推荐回答(3个)
回答1:

解:
令y=f(x)=x²-2x+1=(x-1)²
x≥1 x-1≥0 (x-1)²≥0 y≥0
x-1=√y
x=√y +1
将x,y互换
y=√x+1 (x≥0)
所求反函数为f-1(x)=√x+1 (x≥0)

回答2:

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

回答3:

f-1(x)=√x+1(x>=0)