求Y=x/x²+2x+1的值域
问题描述:
求Y=x/x²+2x+1的值域
答
答:
y=x/(x²+2x+1)
=(x+1-1)/(x+1)²
=1/(x+1)-1/(x+1)²
= - [1/(x+1) -1/2 ]² +1/4
=1/4
所以:
值域为(-∞,1/4]